34 citations · 234 across the 33 of their papers we have counts for
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quant-ph2024★ 34 cited
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…
quant-ph2024★ 6 cited
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…
quant-ph2024★ 4 cited
Dirac particle under dynamical confinement: Fermi acceleration, trembling motion and quantum force
J. Dittrich, S. Rakhmanov, D. Matrasulov
Quantum dynamics of a Dirac particle in a 1D box with moving wall is studied. Dirac equation with time-dependent boundary condition is mapped onto that with static one, but with ti…