34 citations · 42 across the 4 of their papers we have counts for
4 papers
Discrete Dirac equation on quantum graphs: A model of a Dirac particle in a branched lattice
Mashrab Akramov, Carsten Trunk, Davron Matrasulov
We study the one-dimensional time-independent discrete Dirac equation on graphs with discrete edges. Both continuous and discrete formulations of the graphs are considered, with pa…
Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice
M. Akramov, C. Trunk, J. Yusupov +1
We propose an approach to quantize discrete networks (graphs with discrete edges). We introduce a new exact solution of discrete Schrodinger equation that is used to write the solu…
PT-symmetric dynamical confinement: Fermi acceleration, quantum force and Berry phase
S. Rakhmanov, C. Trunk, M. Znojil +1
We consider a quantum particle under the dynamical confinement caused by PT-symmetric box with a moving wall. The latter is described in terms of the time-dependent Schrödinger equ…
Quantum particle under dynamical confinement: From quantum Fermi acceleration to high harmonic generation
S. Rakhmanov, C. Trunk, D. Matrasulov
Quantum dynamics of a particle confined in a box with time-dependent wall is revisited by considering some unexplored aspects of the problem. In particular, the case of dynamical c…