Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Yusupov, J. R."'
We propose a general approach for deriving transparent boundary conditions for the stationary Schroedinger equation with arbitrary potential. It is proven that the transparent boundary conditions can be written in terms of the Weyl-Titchmarsh coeffic
Externí odkaz:
http://arxiv.org/abs/2410.10232
We consider the problem of energy cost needed for acceleration (deceleration) of the evolution of a quantum system using the Masuda-Nakamura fast forward protocol. In particular, we focus on dynamics by considering models for a quantum box with a mov
Externí odkaz:
http://arxiv.org/abs/2407.15250
Publikováno v:
Nanosystems: Physics, Chemistry, Mathematics 14 (4), (2023) 421-427
We consider the problem of fast forward evolution of the processes described in terms of the heat equation. The matter is considered on an adiabatically expanding time-dependent box. Attention is paid to acceleration of heat transfer processes. So ca
Externí odkaz:
http://arxiv.org/abs/2401.02812
In this paper, we discuss the concept of quantum graphs with transparent vertices by considering the case where the graph interacts with an external time-independent field. In particular, we address the problem of transparent boundary conditions for
Externí odkaz:
http://arxiv.org/abs/2312.01448
We consider discrete sine-Gordon equation on branched domains. The latter is modeled in terms of the metric graphs with discrete bonds having the form of the branched 1D chains. Exact analytical solutions of the problem are obtained for special case
Externí odkaz:
http://arxiv.org/abs/2301.05446
We consider the problem of reflectionless propagation of PT-symmetric solitons described by the nonlocal nonlinear Schroedinger equation on a line in the framework of the concept of transparent boundary conditions for evolution equations. Transparent
Externí odkaz:
http://arxiv.org/abs/2209.09550
We consider the reflectionless transport of Manakov solitons in networks. The system is modelled in terms of the Manakov system on metric graphs subject to transparent boundary conditions at the branching points. Simple constraints combining the equi
Externí odkaz:
http://arxiv.org/abs/2206.01283
Publikováno v:
Phys. Rev. E 103, 043305 (2021)
We consider the problem of absence of backscattering in the transport of Manakov solitons on a line. The concept of transparent boundary conditions is used for modeling the reflectionless propagation of Manakov vector solitons in a one-dimensional do
Externí odkaz:
http://arxiv.org/abs/2102.10374
We consider the reflectionless transport of sine-Gordon solitons on a line. Transparent boundary conditions for the sine-Gordon equation on a line are derived using the so-called potential approach. Our numerical implementation of these novel boundar
Externí odkaz:
http://arxiv.org/abs/2011.13299
Publikováno v:
Phys. Rev. E 104, 014219 (2021)
We consider the Dirac equation on periodic networks (quantum graphs). The self-adjoint quasi periodic boundary conditions are derived. The secular equation allowing us to find the energy spectrum of the Dirac particles on periodic quantum graphs is o
Externí odkaz:
http://arxiv.org/abs/2011.02278