2024

M.Akramov, B.Eshchanov, F.Khashimova and D.Matrasulov. PT-symmetric solitons in networks: ametric graph basedapproach. Physica Scripta, 99, 115279.

M.Akramov, C.Trunk, J.Yusupov and D. Matrasulov. Discrete Schr?odinger equation on graphs: An effective model for branched quantum lattice. EPL, 147, 62001.

M.Akramov, B.Eshchanov, S.Usanov, Sh.Norbekov, D.Matrasulov. Second-harmonic generation in branched optical waveguides: Metric graphs based approach. Physics Letters A 524, 129827.

Saparboy Rakhmanov, Reinhold Egger and Davron Matrasulov. Coulomb impurities in graphene driven by ultrashort electromagnetic pulses: excitation, ionization, and pair creation. Physica Scripta 99, 075953.

Saparboy Rakhmanov, Carsten Trunk and Davron Matrasulov. Quantum particle under dynamical confinement: from quantum Fermi acceleration to high harmonic generation. Physica Scripta 99, 075308.

S.Rakhmanov, C.Trunk, M.Znojil, and D.Matrasulov. PT-symmetric dynamical confinement: Fermi acceleration, quantum force, and Berry phase. Physical Review A 109, 053519.

J.Dittrich, S.Rakhmanov, D.Matrasulov. Dirac particle under dynamical confinement: Fermi acceleration, trembling motion and quantum force. Physics Letters A, 503, 129408.

2023

M. Akramov, I. Askerzade, M. Salati and O. Karpova. Bogoliubov-de Gennes equation on graphs: A model for tree-branched Majorana wire network. Journal of Physics: Conference Series, 2667, 012032.

M.E. Akramov, I.N. Askerzade, M. Salati, D.U. Matrasulov. Driven sine-Gordon equation on metric graphs: a model for branched Josephson junction. Advanced Physical Research, 5, 123.

M. E. Akramov, J. R. Yusupov, I. N. Askerzade and D. U. Matrasulov. Discrete sine-Gordon equation on metric graphs: A simple model for Josephson junction networks. Physica Scripta, 98, 115238.

J. Matrasulov, J. Yusupov, A. Saidov. Fast forward evolution in heat equation: Tunable heat transport in adiabatic regime. Nanosystems: Physics, Chemistry, Mathematics, 14, 421.

J.R. Yusupov, Kh.Sh. Matyokubov, M. Ehrhardt, D.U. Matrasulov. Manakov system on metric graphs: Modeling the reflectionless propagation of vector solitons in networks. Phys. Lett. A, 479, 128928.

S.Z. Rakhmanov, I.B. Tursunov, Kh.Sh. Matyokubov, D.U. Matrasulov. Optical high harmonic generation in a quantum graph . Nanosystems: physics, chemistry, mathematics, 14, 164.

2022

M.Akramov, F.Khashimova, D.Matrasulov. Discrete nonlocal nonlinear Schrodinger equation on graphs: Dynamics of PT-symmetric solitons in discrete networks . Physics Letters A 457, 128555.

I. N. Askerzade, D. Matrasulov and M. Salati. Frustration Effect on Penetration Depth in Long Josephson Junctions Between Single- and Multi-band Superconductors . Journal of Superconductivity and Novel Magnetism.

M. Akramov, K. Sabirov, D. Matrasulov, H. Susanto, S. Usanov, and O. Karpova. Nonlocal nonlinear Schrodinger equation on metric graphs: A model for generation and transport of parity-time-symmetric nonlocal solitons in networks . Phys. Rev. E 105, 054205.

J.R. Yusupov, Kh.Sh. Matyokubov, K.K. Sabirov, H. Susanto, D. U. Matrasulov. Networks with point-like nonlinearities. Nanosystems: physics, chemistry, mathematics, 13 (1), 30–35.

2021

K. K. Sabirov, J. R. Yusupov, M. Ehrhardt, D. U. Matrasulov. Transparent boundary conditions for the sine-Gordon equation: Modeling the reflectionless propagation of kink solitons on a line . Physics Letters A, 423, 127822.

J. R. Yusupov, K. K. Sabirov, and D. U. Matrasulov. Dirac particles on periodic quantum graphs. Phys. Rev. E 104, 014219.

K. K. Sabirov, J. R. Yusupov, M. M. Aripov, M. Ehrhardt, and D. U. Matrasulov. Reflectionless propagation of Manakov solitons on a line: A model based on the concept of transparent boundary conditions. Phys. Rev. E 103, 043305.

2020

D. Matrasulov, K. Sabirov, D. Babajanov and H. Susanto. Branched Josephson junctions: Current carrying solitons in external magnetic fields. EPL, 130, 67002.

J. R. Yusupov, K. K. Sabirov, Q. U. Asadov, M. Ehrhardt, and D. U. Matrasulov. Dirac particles in transparent quantum graphs: Tunable transport of relativistic quasiparticles in branched structures.. Phys. Rev. E 101, 062208.

J.R.Yusupov, Kh.Sh.Matyokubov, K.K.Sabirov, D.U.Matrasulov. Exciton dynamics in branched conducting polymers: Quantum graphs based approach.. Chem. Phys., 537, 110861.

K.K. Sabirov, M.E. Akramov, R. Sh. Otajonov, D.U. Matrasulov. Soliton generation in optical fiber networks. Chaos, Solitons & Fractals 133, 109636.

K.K. Sabirov, J.R. Yusupov, Kh.Sh. Matyokubov. Dynamics of polarons in branched conducting polymers. NANOSYSTEMS: Physics, Chemistry, Mathematics 11 (2), 183–188.

J.R. Yusupov, Kh.Sh. Matyokubov, K.K. Sabirov. Particle transport in a network of quantum harmonic oscillators. NANOSYSTEMS: Physics, Chemistry, Mathematics 11 (2), 145–152.

2019

J.R. Yusupov, K.K. Sabirov, M. Ehrhardt, D.U. Matrasulov. Transparent nonlinear networks. Phys. Rev. E 100, 032204.

J.R. Yusupov, K.K. Sabirov, M. Ehrhardt, D.U. Matrasulov. Transparent quantum graphs. Physics Letters A 383, 2382.

D U Matrasulov, K K Sabirov and J R Yusupov. PT-symmetric quantum graphs. J. Phys. A: Math. Theor. 52, 155302.

J Yusupov, S Rakhmanov, D Matrasulov and H Susanto. Quantum dynamics of a parity-time-symmetric kicked particle in a 1D box. J. Phys A., 52, 055303.

M.M. Aripov, K.K. Sabirov, J.R. Yusupov. Transparent vertex boundary conditions for quantum graphs: Simplified approach. NANOSYSTEMS: Physics, Chemistry, Mathematics, 10(5), 505-510.

2018

D. Babajanov, H. Matyokubov, and D. Matrasulov. Charged solitons in branched conducting polymers. THE JOURNAL OF CHEMICAL PHYSICS 149, 164908.

S. Rakhmonov, D. Matrasulov and V. Matveev. Quantum dynamics of a hydrogen-like atom in a time-dependent box: Non-adiabatic regime. Eur. Phys. J. D., 72, 177.

K K Sabirov, D B Babajanov, D U Matrasulov and P G Kevrekidis. Dynamics of Dirac solitons in networks. J. Phys. A: Math. Theor. 51, 435203.

K. Sabirov, D. Jumanazarov, J. Yusupov, D. Matrasulov. Bogoliubov de Gennes equation on metric graphs. Physics Letters A, 382, 2856.

G. Babajanova, J. Matrasulov, K. Nakamura. Quantum gas in the fast forward scheme of adiabatically expanding cavities: Force and equation of states. Phys. Rev. E 97, 042104.

K. Sabirov, S. Rakhmanov, D. Matrasulov, H. Susanto. The stationary sine-Gordon equation on metric graphs: Exact analytical solutions for simple topologies. Phys. Lett. A 382, 1092.

J.R. Yusupov, D.M. Otajanov, V.E. Eshniyazov, D.U. Matrasulov. Classical and quantum dynamics of a kicked relativistic particle in a box. Phys. Lett. A 382, 633.

2017

Katsuhiro Nakamura, Anvar Khujakulov, Sanat Avazbaev, and Shumpei Masuda. Fast forward of adiabatic control of tunneling states. Phys. Rev. A 95, 062108 .

J. Yusupov. Tunable wave packet transport in branched periodic lattices with time-dependent external field. NANOSYSTEMS: Physics, Chemistry, Mathematics, 8(1), 42–47.

2016

K. Sabirov, S. Rakhmanov, D. Matrasulov, H. Susanto. The stationary sine-Gordon equation on metric graphs: Exact analytical solutions for simple topologies. arXiv:1612.00239.

J. Yusupov, M. Dolgushev, A. Blumen, O. Mulken. Directed transport in quantum star graphs. Quantum Information Processing, 15(4), 1765-1777.

Anvar Khujakulov and Katsuhiro Nakamura. Scheme for accelerating quantum tunneling dynamics. Phys. Rev. A 93, 022101.

K. Nakamura, D. Babajanov, D. Matrasulov, M. Kobayashi, and P. Muruganandam. Dynamics of trapped interacting vortices in Bose-Einstein condensates: Role of breathing degree of freedom. J. Phys. A. 49, 315102.

Z. Sobirov, D. Babajanov, D. Matrasulov, K. Nakamura, H. Uecker Sine-Gordon solitons in networks: Scattering and transmission at vertices. EPL, 115, 50002. 

2015

J. Yusupov, V. Eshniyozov, O. Karpova, D. Saidov. Kicked particle dynamics in quantum graphs. NANOSYSTEMS: Physics, Chemistry, Mathematics, 6(6), 773-778.

D.U. Matrasulov, J.R. Yusupov, K.K. Sabirov, Z.A. Sobirov. Time-dependent quantum graph. NANOSYSTEMS: Physics, Chemistry, Mathematics, 6(2), 173-181.

Z.A. Sobirov, M.I. Akhmedov, H. Uecker Cauchy problem for the linearized KdV equation on general metric star graphs. NANOSYSTEMS: Physics, Chemistry, Mathematics, 6(2), 198-204.

D.B. Babajanov, D.U. Matrasulov, Z.A. Sobirov, S.K. Avazbaev, O.V. Karpova Time-dependent quantum circular billiard. NANOSYSTEMS: Physics, Chemistry, Mathematics, 6(2), 224-243.

Hannes Uecker, Daniel Grieser, Zarif Sobirov, Doniyor Babajanov, Davron Matrasulov Soliton transport in tubular networks: transmission at vertices in the shrinking limit. Phys. Rev. E 91, 023209.

2014

S. Masuda, K.Nakamura and A. del Campo High-Fidelity Rapid Ground-State Loading of an Ultracold Gas into an Optical Lattice. Phys.Rev.Lett. 113, 063003 (2014)

A. De Martino, D. Kloepfer, D. Matrasulov, R. Egger Electric dipole induced universality for Dirac fermions in graphene. Phys.Rev.Lett., 112, 186603 (2014)

D. Klopfer, A. De Martino, D. Matrasulov, R. Egger Scattering theory and ground-state energy of Dirac fermions in graphene with two Coulomb impurities. Eur.Phys.J. B, 87, 187 (2014)

D.Babajanov, D. Matrasulov, R. Egger Particle transport in graphene driven by ultrashort pulses. Eur.Phys. J. B, 87, 258, (2014)

Z.A. Sobirov, K.K. Sabirov, D.U. Matrasulov, A.A. Saidov, K. Nakamura Ballistic Soliton transport in networks. In "Nonlinear Phenomena in Complex Systems: From Nano to Macro Scale (Eds. D.Matrasulov, H.E. Stanley), Springer, 2014

2013

D.U. Matrasulov, J.R. Yusupov, K.K. Sabirov and Z.A. Sobirov Breathing star graph. In "Low-Dimensional Functional Materials" (Eds. R.Egger, D.Matrasulov, Kh. Rakhimov) Springer 2013

V. Eshniyazov, D.U. Matrasulov, J.R. Yusupov Particle dynamics in kicked quantum networks. In "Low-Dimensional Functional Materials" (Eds. R.Egger, D.Matrasulov, Kh. Rakhimov) Springer 2013

K.K. Sabirov, Z.A. Sobirov, D.Babajanov and D.U. Matrasulov Stationary Nonlinear Schrodinger Equation on Simplest Graphs. Phys.Lett. A 377, 860 (2013)

V.E. Eshniyazov,D.U. Matrasulov, J.R. Yusupov Kicked Dirac particle in a box. (arXiv:1311.0799) Submitted to Phys.Rev.E

2012

Katsuhiro Nakamura, Zarifboy A. Sobirov, Davron U. Matrasulov, and Sanat K. Avazbaev Bernoulli's formula and Poisson's equations for a confined quantum gas: Effects due to a moving piston. Phys. Rev. E 86, 061128 (2012)

V.I. Matveev, D.U.Matrasulov Radiatio spectra and interference effects in the interaction of multi-atomic targets with te ultrashort pulses of electromagnetic field. JETP Lett., 96 (2012) 700

Katsuhiro Nakamura, Doniyor Babajanov, Davron Matrasulov, and Michikazu Kobayashi Dynamics of inertial vortices in multicomponent Bose-Einstein condensates. Phys. Rev. A 86 (2012) 053613

2011

Z.A. Sobirov, K.K. Sabirov, D.U. Matrasulov Stationary Nonlinear Schrodinger Equation on Simplest Graphs: Boundary conditions and exact solutions. E-print: arXiv:1107.1220.

V.I. Matveev, D.N. Makarov, Kh.Yu. Rakhimov Stripping of fast helium-like ions in multiple collisions with diatomic molecules. Tech. Phys.Lett. 37 579 (2011).

D Matrasulov, U Salomov, G Milibaeva and N.E.Iskandarov Classical Dynamics and Particle Transport in Kicked Billiards. Physica D 240, 470 (2011).

K Nakamura, Z.S. Sobirov, D Matrasulov, S.K.Avazbaev and T.Monnai Quantum ideal gas in an expanding cavity: Nature of non-adiabatic force. Phys.Rev. E 83 041133 (2011).

K Nakamura, Z.S. Sobirov, D Matrasulov, S. Sawada Transport in simple networks described by an integrable discrete nonlinear Schrodinger equation. Phys.Rev. E 84, 026609 (2011).

V.I. Matveev, D.N. Makarov, Kh.Yu. Rakhimov Electron loss of fast projectiles in the collisions with molecules. Phys. Rev. A, 84. 012704 (2011).

Kh.Yu. Rakhimov, A. Chaves, A.G. Farias, and F.M. Peeters Wave packet scattering of Dirac and Schrodinger particles on potential and magnetic barriers. J. Phys.: Condens. Matter 23 275801 (2011).

Shumpei Masuda and Katsuhiro Nakamura Acceleration of adiabatic quantum dynamics in electromagnetic fields. Phys. Rev. A 84, 043434 (2011).

Taro Ando, Yoshiyuki Ohtake, Jun-ichi Kondo, and Katsuhiro Nakamura Effects of nonlinearity on the optical diffraction of Bose-Einstein condensates: Direct integration of optically coupled multicomponent Gross-Pitaevskii equation. Phys. Rev. A 83, 023619 (2011).

2010

Z. Sobirov, D. Matrasulov, K. Sabirov, S. Sawada, and K. Nakamura Integrable nonlinear Schrodinger equation on simple networks: Connection formula at vertices. Phys. Rev. E 81, 066602 (2010).

Chaves A., Covaci L., Rakhimov Kh.Yu., Farias G.A., and Peeters F.M. Wave-packet dynamics and valley filter in strained graphene. Phys. Rev. B 82 2054301 (2010).

A.E. Atamuratov, D.U. Matrasulov, P.K. Khabibullaev Influence of the field of the Built-in Oxide Charge on the Lateral C-V Dependence of the MOSFET. Doklady Physics 55, 52-54 (2010).

S. Masuda and K. Nakamura Fast-forward of adiabatic dynamics in quantum mechanics.Proc. R. Soc. A 466, 1135-1154 (2010).

K. Nakamura, D. Matrasulov, U. Salomov, G. Milibaeva, J. Yusupov, T. Ohta and M. Miyamoto Quantum transport in ladder-type networks: role of nonlinearity, topology and spin.J. Phys. A: Math. Theor. 43, 145101 (2010).

2009

M. Hosoda, T. Miyaguchi, K. Imagawa, and K. Nakamura Ubiquity of chaotic magnetic-field lines generated by three-dimensionally crossed wires in modern electric circuits. Phys. Rev. E 80, 067202 (2009).

B. Mehlig, M. Wilkinson, V. Bezuglyy, K. Gustavsson, and K. Nakamura Multiple regimes of diffusion. Phys. Rev. E 80, 011139-011148 (2009).

D.U. Matrasulov, T. Ruzmetov, D.M. Otajanov, P.K. Khabibullaev, A.A. Saidov and F.C. Khanna Finite-temperature nonlinear dynamics in cavity QED: A Thermofield Dynamics Approach. Phys. Lett. A 373, 238 (2009).

S. Sawada, A. Terai, and K. Nakamura Coulomb-interaction-induced quantum irregularity in two electrons within a hard-walled circular billiard. Chaos, Solitons and Fractals 40, 862-873 (2009).

K. Kudo and K. Nakamura Dynamical stability for finite quantum spin chains against a time-periodic inhomogeneous perturbation. Chaos, Solitons and Fractals 40, 166-171 (2009).

V.I. Matveev, S.V. Ryabchenko, D.U. Matrasulov, Kh.Yu. Rakhimov, S. Fritzsche and Th. Stoehlker Electron loss of fast heavy projectiles in collision with neutral targets. Phys. Rev. A 79, 042710 (8) (2009).

Z.A. Sobirov, M.B.Salaeva, U.R.Salomov, A.A.Saidov Quantum Fermi acceleration  in the annular billiard with moving boundaries. Uzbek J. Phys. 4, 262 (2009).

Z.A. Sobirov, D.U. Matrasulov, Sh. Ataev, and H.T. Yusupov Time dependent neutrino billiards.  In "Complex Phenomena in Nanoscale Systems". Springer, 2009.

P. Schmelcher, F. Lenz, D. Matrasulov, Z.A. Sobirov and S.K. Avazbaev Time-dependent quantum billiards. In "Complex Phenomena in Nanoscale Systems". Springer, 2009.

K. Nakamura Nonliner dynamics of wave packets and vortices in Bose-Einstein Condensates. In "Complex Phenomena in Nanoscale Systems". Springer, 2009.

S. Masuda and K. Nakamura Fast-forward problem in Microscopic and Macroscopic Quantum Mechanics. In "Complex Phenomena in Nanoscale Systems". Springer, 2009.

U.R. Salomov, D. Matrasulov and N.E. Iskandarov Nonliner dynamics of the xicked square billiard. In "Complex Phenomena in Nanoscale Systems". Springer, 2009.

S.K. Avazbaev and D. Delande Extraction of partial waves and Fluxes of the Hydrogen atom in a Strong Magnetic field using the Complex Rotation method. In "Complex Phenomena in Nanoscale Systems". Springer, 2009.

2008

D.U. Matrasulov, Z.A. Sobirov and K.K. Sobirov Inverse spectral problem for atom-like mesons. Mod. Phys. Lett. A 23, 1913 (2008).

T. Monnai, A. Sugita and K. Nakamura Diffusion in the Markovian limit of the spatio-temporal colored noise. Europhysics Lett. 84, 20005 (2008).

S. Masuda and K. Nakamura Fast-forwarded Problem in Quantum Mechanics. Phys. Rev. A 78, 062108 (2008).

D.U. Matrasulov, P.K. Khabibullaev, F.C. Khanna and D.M. Otajanov Periodically driven dynamics of a particle moving in the field of Coulomb plus confining potential. Phys. Scripta 78, 065003 (2008).

D.M. Otajonov, Kh.Yu. Rakhimov, and D.U. Matrasulov Classical and Quantum Dynamics of the Periodically Driven Harmonic Oscillator. Uzbek J. Phys. 10 (2008).

Kh.Yu. Rakhimov Nuclear Finite Size Effects at Relativistic Heavy Ion Collisions. Uzbek J. Phys. 10 (2008).

F. Juraev, Kh.Yu. Rakhimov, O.V. Karpova and F.C. Khanna Compton Scattering at Finite Temperature: Thermofield Dynamics Approach. Uzbek J. Phys. 10 (2008).

2007

A.E. Atamuratov, D.U. Matrasulov, P.K. Khabibullaev Detection of a charge built in the oxide layer of a metal-oxide-semiconductor field-effect transistor by lateral C-V measurement. Doklady Phys. 52, 322-325 (2007).

E.G. Drukarev, A.I. Mikhailov, I.A. Mikhailov, Kh.Yu. Rakhimov and W. Scheid Formation of ions by high-energy photons. Phys. Rev. A 75, 032717 (2007).

D.U. Matrasulov, Kh.Yu. Rakhimov and F.C. Khanna Finite-temperature pair creation in the collisions of relativistic heavy ions. Uzbek J. Phys. 9, 302-311 (2007).

D.U. Matrasulov, F.C. Khanna, Kh.T. Butanov Casimir effect at finite temperature: the role of space-time compactification. Uzbek J. Phys. 9, 7-11 (2007).

2006

V.I. Matveev, E.S. Gusarevich, D.U. Matrasulov, Kh.Yu. Rakhimov, Th. Stohlker and G. Baur Projectile electron losses in the collisions with neutral targets: sudden-perturbation approximation. J. Phys. B: At. Mol. Opt. Phys. 39, 1447–1460 (2006).

D.U. Matrasulov, F.C. Khanna, Kh.T. Butanov and Kh.Yu. Rakhimov Spectra of quarkonia at finite-temperature. Mod. Phys. Lett. A 21, 1391 (2006).

D.U. Matrasulov , F.C. Khanna, U.R. Salomov and G.M. Milibaeva Finite temperature quantum billiards. In “Non-linear Dynamics and Fundamental Interactions” (Eds. F. Khanna and D. Matrasulov) 167, Springer (2006).

D.U. Matrasulov , F.C. Khanna, U.R. Salomov and A.E. Santana Quantum chaos at finite temperature. In “Non-linear Dynamics and Fundamental Interactions” (Eds. F. Khanna and D. Matrasulov) 341, Springer (2006).

D.U. Matrasulov , F.C. Khanna, and D.M. Otajanov Chaotization of the periodically driven quarkonia. In “Non-linear Dynamics and Fundamental Interactions” (Eds. F. Khanna and D. Matrasulov) 335, Springer (2006).

V.I. Matveev, D.U. Matrasulov, and S.V. Ryabchenko Multiple Electron Loss by Structured Heavy Ions in Fast Collisions with Complex Atoms. JETP 102, 1 (2006).

D.U. Matrasulov , S.K. Avazbaev and P.K. Khabibullaev The largest Lyapunov exponents for the relativistic hydrogen-like atom in a uniform magnetic field. In “Non-linear Dynamics and Fundamental Interactions” Eds. F. Khanna and D. Matrasulov) 179, Springer (2006).

D.U. Matrasulov , G.M. Milibaeva, U.R. Salomov and B. Sundaram Chaotic dynamics of the relativistic kicked rotor. In “Non-linear Dynamics and Fundamental Interactions” (Eds. F. Khanna and D. Matrasulov) 173, Springer (2006).

D.U. Matrasulov , F.C. Khanna, Kh.T. Butanov and Kh.Yu. Rakhimov Spectra of quarkonia at finite-temperature. In “Non-linear Dynamics and Fundamental Interactions” (Eds. F. Khanna and D. Matrasulov) 329, Springer (2006).

2005

V.I. Matveev, D.U. Matrasulov and S.V. Ryabchenko Lost of electrons from fast heavy structure ions colliding with atoms. JETP Lett. 82, 404 (2005).

D.U. Matrasulov, G.M. Milibaeva, U.R. Salomov and B. Sundaram Relativistic kicked rotor. Phys. Rev. E 72, 016213 (2005).

D.U. Matrasulov, F.C. Khanna, A.E. Santana and U.R. Salomov Quantum chaos in Yang-Mills-Higgs system at finite-temperature. Eur. J. Phys. C 42, 148 (2005).

U.K. Sapaev and D.T. Reid General second-harmonic pulse shaping in grating-engineered quasi-phase-matched nonlinear crystals. Optics Express 13, 3264 (2005).

U.K. Sapaev, J. Kutzner and K. Finsterbusch Optimization of type-II frequency doubling of spatial and temporal limited laser light in nonlinear crystals. Optical and Quantum Electronics 37, 515 (2005).

2004 

D.U. Matrasulov and G.M. Milibaeva Relativistic kicked rotor in a magnetic field. Uzbek J. Phys. 6, 198 (2004).

J.H. McGuire, A.L. Godunov, Kh.Kh. Shakov, Kh.Yu. Rakhimov and A. Chalastaras Quantum time ordering and degeneracy. I: Time ordering in quantum mechanics. Developments of Quantum Physics. Nova Science Publishers, Inc., New York , 2004.

Kh.Yu. Rakhimov, Kh.Kh. Shakov, and J.H. McGuire Quantum time ordering and degeneracy. II: Coherent population transfer between degenerate states. Developments of Quantum Physics. Nova Science Publishers, Inc., New York , 2004.

Kh.Yu. Rakhimov, J.H. McGuire, and Kh.Kh. Shakov Complete population transfer in a degenerate 3-level atom. Phys. Rev. A 69, 023405 (2004).

V.I. Usachenko, V.A. Pazdzersky, and J.K. McIver Reexamination of high-energy above-threshold ionization (ATI): An alternative strong-field ATI model. Phys. Rev. А 69, 013406 (2004).

2003

D.U. Matrasulov, F.C. Khanna, and H.Yusupov Spectra of heavy-light mesons. J. Phys. G 29, 473 (2003).

J.H. McGuire, Kh.Kh. Shakov, and Kh.Yu. Rakhimov Analytic description of population transfer in a degenerate n-level atom. J. Phys. B 36, 3145 (2003).

D.U. Matrasulov, F.C. Khanna, Kh.Yu. Rakhimov and H. Yusupov Hadrons cointaining heavy quarks in the relativistic approach. Nucl. Phys. B 115, 195 (2003).

D.U. Matrasulov and G.M. Milibaeva Relativistic periodically driven rotator. Phys. Scripta 68, 215 (2003).

D.U. Matrasulov, Sh. Ataev An approximate analytic solution of the Klein-Gordon equation for the finite electric dipole potential. J. Phys. A 36, 10227 (2003).

D.U. Matrasulov, F.C. Khanna, U.R. Salomov Quantum chaos in the systems with Coulomb plus confining potential. Uzbek J. Phys. 5, 190 (2003).

U.K. Sapaev, I.A. Kulagin, T. Usmanov Change of optimum conditions of second harmonic generation of limited laser beams in nonlinear crystals. Optical and Quantum Electronics 35, 3221 (2003).

U.K. Sapaev, I.A. Kulagin, T. Usmanov Theory of second harmonic generation of limited laser beams in nonlinear crystals. Journal of Optics B 5,  355 (2003).

U.K. Sapaev, I.A. Kulagin, T. Usmanov Generalized strong interaction approximation in the theory of frequency conversion of intense laser field. Journal of Applied Spectroscopy 70, 365 (2003).

U.K. Sapaev Theory of second harmonic generation of intense laser radiation. Optics and Spectroscopy 94, 848 (2003).

I.A. Kulagin, U.K. Sapaev, T. Usmanov Features of nonstationary SHG of phase-modulated laser pulse under self-action conditions. Quantum Electronics 33, 168 (2003).

J.H. McGuire, A.L. Godunov, Kh.Kh. Shakov, Kh.Yu. Rakhimov and A. Chalastaras Progress in Quantum Physics Research. Nova Science Publishers, Inc., New York, 2003.

Kh.Yu. Rakhimov, Kh.Kh. Shakov and J.H. McGuire Progress in Quantum Physics Research. Nova Science Publishers, Inc., New York, 2003 (quant-ph/0308015).

D.U. Matrasulov, F.C. Khanna, Kh.Yu. Rakhimov and Kh.T. Butanov Spectroscopy of baryons containing two heavy quarks in Fundamental Interactions. Fundamental Interactions. Eds. A. Astbury et al. World Scientific, 273 (2003).

V.I. Matveev, O.V. Karpova Sputtering of molecular complexes (clusters) under ion bombardment. Uzbek J. Phys. 5, 175 (2003).

D.U. Matrasulov, F.C. Khanna, D.M. Otajanov Chaotization of the periodically driven quarkonia. Uzbek J. Phys. 5, 181 (2003).

D.U. Matrasulov, F.C. Khanna, U.R. Salomov Quantum chaos in the systems with Coulomb plus confining potential. Uzbek J. Phys. 5, 190 (2003).

D.U. Matrasulov, G.M. Milibaeva Chaos in the relativistic quantum rotator. Uzbek J. Phys. 5, 197 (2003).

D.U. Matrasulov, G.M. Milibaeva 2D-Hamiltonian for the relativistic quantum rotator. Uzbek J. Phys. 6, 185 (2003).

2002

D.U. Matrasulov, F.C. Khanna, Kh.Yu. Rakhimov and Kh.T.Butanov Spectra of baryons containing two heavy quarks. Eur. Phys. J. A 14,  81 (2002).

D.U. Matrasulov Chaos in the relativistic two-electron atom. CHAOS 12, 650 (2002).

V.I. Usachenko and V.А. Pazdzersky High-Order Harmonic Generation in а Strong Laser Field: An Alternative Quantum Mechanical Model. J. Phys. В: At. Mol. & Opt. Phys. 35, 761 (2002).

V.A. Pazdzersky and V.I. Usachenko Tunneling Photodetachment of Negative Iоп Exposed to а Bichromatic Laser Field. J. Opt. Soc. Am. В: Opt. Phys. 19, 1239 (2002).

V. А. Pazdzersky, V.I. Usachenko and A.V. Ushnurtsev Photocurrents Caused by Photoionization in а Bichromatic Laser Field and Possibility of Their Angular Coherent Control. Laser Phys. 2, 511 (2002).

V.A. Pazdzersky, V.I. Usachenko About Spatial Asymmetry of Photoelectron Emission in a Bichromatic Laser Field. Laser Phys. 12, 504 (2002).

D.U. Matrasulov, G.M.Milibaeva and P.K.Khabibullaev Relativistic Quantum Rotator in a Periodic Field. Phys. Doklady 47, 286 (2002).

D.U. Matrasulov, D.M. Otajanov and Sh. Ataev Kepler map for the relativistic atoms. Uzbek J. Phys. 4, 15 (2002).

D.U. Matrasulov and F.C. Khanna Properties of hadrons in nuclear matter. In Physics of JHF, World Scientific (2002).

2001

D.U. Matrasulov and D.M. Otajanov Relativistic Kepler map. J. Phys. A 34, 3477 (2001).

D.U. Matrasulov Chaos in a supercritical atom. Phys. At. Nuclei 64, 253 (2001).

V.A. Pazdzersky, V.I. Usachenko and A.V. Ushnurtsev On Angular Coherent Control of Photocurrent Caused by Photoionization in а Bichromatic Laser Field. J. Phys. В: At. Mol. & Opt. Phys. 34, 3513 (2001).

D.U. Matrasulov and A.S.Rakhmatov Stochastic autoionization of the relativistic two-electron atom. Optics and Spectroscopy 91, 827 (2001).

D.U. Matrasulov and D.M. Otajanov Chaos in the quarkonium. Uzbek J. Phys. 2, 234 (2001).

2000

V.I. Matveev, D.U. Matrasulov Finite-size projectile effects in the relativistic ion-atom collisions. J. Phys. B 33, 2721 (2000).

D.U. Matrasulov, M.M. Musakhanov, T.Morii Spectra of doubly heavy baryons. Phys. Rev. C 61, 045204 (2000).

V.I. Matveev, D.U. Matrasulov, Kh.Yu. Rakhimov Two-center problem for the Dirac equation. Phys. At. Nuclei 63, 318 (2000).

V.I. Matveev, D.U. Matrasulov and M.M. Musakhanov Relativistic Electron in the Field of Finite Electric Dipole. Doklady Phys. 45, 22 (2000).

V.I. Matveev, D.U. Matrasulov and P.K. Khabibullaev Chaotization of a supercritical atom. Doklady Phys. 45, 142 (2000).

D.U. Matrasulov and P.K. Khabibullaev Classical autoionization of a relativistic two-electron atom. Doklady Phys. 45, 443 (2000).

P.K. Khabibullaev, V.I. Matveev and D.U. Matrasulov K-vacancy production in the collision of highly charged relativistic ions with heavy atoms. Turkish J. Phys. 24, 709 (2000).

D.U. Matrasulov, A.K. Ruzibaev and V.I. Matveev Excitation of heavy atom by impact of relativistic highly charged ion. Uzbek J. Phys. 2, 372 (2000).

1999

D.U. Matrasulov Diffusive ionization of relativistic hydrogen-like atom. Phys. Rev. A 60, 700 (1999).

D.U. Matrasulov, V.I. Matveev, M.M. Musakhanov Eigenvalue problem for the relativistic electric-dipole system. Phys. Rev. A 60, 4140 (1999).

V.I. Matveev and D.U. Matrasulov Single and Double K-vacancy production in the collisions of relativistic highly charged ions with atoms. Phys. Scripta 89, 429 (1999).

V.I. Matveev, Kh.Yu. Rakhimov, D.U. Matrasulov Inelastic collisions of relativistic highly charged ions with atoms.  J. Phys. B 32, 3849 (1999).

D.U. Matrasulov A Relativistic hydrogen-like atom in a monochromatic field. Optics and Spectroscopy 86, 629 (1999).

D.U. Matrasulov, V.I. Matveev and P.K. Khabibullaev Stochastic dynamics of the relativistic atom interacting with monochromatic field. Doklady Phys. 44, 420 (1999).

V.I. Matveev, D.U. Matrasulov and Kh.Yu. Rakhimov On the critical distance in the collisions of heavy ions. Tech. Phys. 44, 992 (1999).

D.U. Matrasulov Stochastic ionization of a relativistic hydrogen-like atom. Tech. Phys. 44, 249 (1999).

D.U. Matrasulov, V.I.Matveev, P.K. Khabibullaev Chaotic autoionization of the relativistic two-electron atom. Uzbek J. Phys. 1, 132 (1999).

Conferences

D.U. Matrasulov, Kh.Yu. Rakhimov and D.M. Otajanov Dynamical chaos in the penetration of relativistic heavy ion through matter. 11-th International conference on the physics of highly charged ions. September 1-6, 2002, Caen. France.

D.U. Matrasulov, F.C. Khanna and D.M. Otajanov Chaos in periodically driven quarkonium. 17th International Conference on Few-Body Problems in Physics. 5-10 June, Durham, NC, USA.

D.U. Matrasulov, F.C. Khanna and D.M. Otajanov Chaotization of the periodically driven quarkonia. International Conference on "Soft Condensed Matter: Science and Technology". October 30 - November 1, 2002, Tashkent, Uzbekistan.

V.I. Matveev, O.V. Karpova Sputtering in the form of large clusters. International Conference: Reactivity in Organized Microstructures: Euroconference on Physical Aspects and Application to Biology and Chemistry Abstracts of Lectures and Posters. June 22-27, 2002. Acquafredda di Maratea, Italy.- P. 46.

V.I. Matveev, O.V. Karpova Sputtering of molecular complexes (clusters) under on bombardment. International Conference on Soft Condensed Matter: Science and Technology Book of Abstract. October 30 - November 1, 2002. Tashkent. - Tashkent, 2002. P. 26.

D.M. Otajanov Relativistic Kepler Map. Conference of young scientists on problems in modern physics 16 January, 2002, Tashkent, Uzbekistan.

U.K. Sapaev, I.A. Kulagin,  T. Usmanov Generalized strong interaction approximation in the theory of nonlinear interaction of phase-modulated laser pulses. IQEC-YS-2002. Moscow, Russia, 22-28 June: YMC26. (2002).

I.A. Kulagin, U.K. Sapaev, T. Usmanov, A.A. Uzaqov, D.B. Yusupov Self-action effects in nonstationary laser radiation frequency doubling in regular structure medium. IQEC-LAT-2002. Moscow, Russia, 22-28 June: QSuS24. (2002).

U.K. Sapaev, I.A. Kulagin, T. Usmanov Frequency Doubling of Spatial and Temporal Nonuniform Intense Laser Radiation. XVI International School-Seminar SPECTROSCOPY OF MOLECULES AND CRYSTALS XVI ISSSMC. 25.05-1.06.2003 Sevastopol, Ukraine.

U.K. Sapaev, I.A. Kulagin, T. Usmanov On Theory of Second Harmonic Generation of Intense Phase- Modulated  Ultra-Short Laser Pulses in Nonlinear Crystals. XVI International School-Seminar SPECTROSCOPY OF MOLECULES AND CRYSTALS XVI ISSSMC. 25.05-1.06.2003 Sevastopol, Ukraine.

U.K. Sapaev, I.A. Kulagin, D.B. Yusupov, T. Usmanov Third Harmonic Generations in the Crystals with Modulated Second Order Nonlinearity. XVI International School-Seminar SPECTROSCOPY OF MOLECULES AND CRYSTALS XVI ISSSMC.  25.05-1.06.2003, Sevastopol, Ukraine.