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- Z . A . Sobirov, Davron U Matrasulov, K . K . Sabirov, Shigemasa Sawada, Kozo Nakamura
- Physical review. E, Statistical, nonlinear, and…
- 2010

We study the case in which the nonlinear Schrödinger equation (NLSE) on simple networks consisting of vertices and bonds has an infinite number of constants of motion and becomes completely integrable just as in the case of a simple one-dimensional (1D) chain. Here the strength of cubic nonlinearity is different from bond to bond, and networks are assumed… (More)

- Davron U Matrasulov, G M Milibaeva, Uktam R. Salomov, Bala Sundaram
- Physical review. E, Statistical, nonlinear, and…
- 2005

Transport properties in the relativistic analog of the periodically kicked rotor are contrasted under classically and quantum mechanical dynamics. The quantum rotor is treated by solving the Dirac equation in the presence of the time-periodic delta-function potential resulting in a relativistic quantum mapping describing the evolution of the wave function.… (More)

- Katsuhiro Nakamura, Zarifboy A Sobirov, Davron U Matrasulov, Sanat K Avazbaev
- Physical review. E, Statistical, nonlinear, and…
- 2012

We study a nonequilibrium equation of states of an ideal quantum gas confined in the cavity under a moving piston with a small but finite velocity in the case in which the cavity wall suddenly begins to move at the time origin. Confining ourselves to the thermally isolated process, the quantum nonadiabatic (QNA) contribution to Poisson's adiabatic equations… (More)

- Alessandro De Martino, Denis Klöpfer, Davron U Matrasulov, Reinhold Egger
- Physical review letters
- 2014

We study electric dipole effects for massive Dirac fermions in graphene and related materials. The dipole potential accommodates towers of infinitely many bound states exhibiting a universal Efimov-like scaling hierarchy. The dipole moment determines the number of towers, but there is always at least one tower. The corresponding eigenstates show a… (More)

- Hannes Uecker, Daniel Grieser, Z . A . Sobirov, Doniyor Babajanov, Davron U Matrasulov
- Physical review. E, Statistical, nonlinear, and…
- 2015

Soliton transport in tubelike networks is studied by solving the nonlinear Schrödinger equation (NLSE) on finite thickness ("fat") graphs. The dependence of the solution and of the reflection at vertices on the graph thickness and on the angle between its bonds is studied and related to a special case considered in our previous work, in the limit when the… (More)

Finite-temperature spectra of heavy quarkonia are calculated by combining potential model and thermofield dynamics formalisms. The mass spectra of the heavy quarkonia with various quark contents are calculated. It is found that binding mass of the quarkonium decreases as temperature increases.a Quarkonia; finite-temperature spectra; thernofield dynamics.

In this paper, we study quantum star graphs with time-dependent bond lengths. Quantum dynamics are treated by solving Schrodinger equation with time-dependent boundary conditions given on graphs. The time-dependence of the average kinetic energy is analyzed. The space-time evolution of a Gaussian wave packet is treated for an harmonically breathing star… (More)

- Kozo Nakamura, Z . A . Sobirov, Davron U Matrasulov, Shigemasa Sawada
- Physical review. E, Statistical, nonlinear, and…
- 2011

We elucidate the case in which the Ablowitz-Ladik (AL)-type discrete nonlinear Schrödinger equation (NLSE) on simple networks (e.g., star graphs and tree graphs) becomes completely integrable just as in the case of a simple one-dimensional (1D) discrete chain. The strength of cubic nonlinearity is different from bond to bond, and networks are assumed to… (More)

- Davron U Matrasulov, 700135 Tashkent
- 1999

Chaotization of supercritical (Z > 137) hydrogenlike atom in the monochromatic field is investigated. A theoretical analysis of chaotic dynamics of the relativistic electron based on Chirikov criterion is given. Critical value of the external field at which chaotization will occur is evaluated analytically. The diffusion coefficient is also calculated. PACS… (More)

- Davron U Matrasulov, 700135 Tashkent
- 1998

Schrödinger equation for two center Coulomb plus harmonic oscillator potential is solved by the method of ethalon equation at large intercenter separations. Asymptotical expansions for energy term and wave function are obtained in the analytical form. PACS numbers: 03.65.Ge, 03.65 -W, 12.39.Pn The Schrödinger equation with two-center potentials is of… (More)