34 citations · 234 across the 33 of their papers we have counts for
4 papers · 1 filter
Classical and quantum dynamics of a kicked relativistic particle in a box
J. R. Yusupov, D. M. Otajanov, V. E. Eshniyazov +1
We study classical and quantum dynamics of a kicked relativistic particle confined in a one dimensional box. It is found that in classical case for chaotic motion the average kinet…
Nonlinear standing waves on planar branched systems: Shrinking into metric graph
Z. Sobirov, D. Babajanov, D. Matrasulov
We treat the stationary nonlinear Schroodinger equation on two-dimensional branched domains, so-called fat graphs. The shrinking limit when the domain becomes one-dimensional metri…
Quantum dynamics of a hydrogen-like atom in a time-dependent box: non-adiabatic regime
S. Rakhmanov, D. Matrasulov, V. I. Matveev
We consider a hydrogen atom confined in time-dependent trap created by a spherical impenetrable box with time-dependent radius. For such model we study the behavior of atomic elect…
Dynamics of Dirac solitons in networks
K. K. Sabirov, D. B. Babajanov, D. U. Matrasulov +1
We study dynamics of Dirac solitons in prototypical networks modeling them by the nonlinear Dirac equation on metric graphs. Soliton solutions of the nonlinear Dirac equation on si…