Remarks on discrete and semi-discrete transparent boundary conditions for solving the time-dependent Schrödinger equation on the half-axis

Author:

Zlotnik Alexander,Zlotnik Ilya

Abstract

AbstractWe consider the generalized time-dependent Schrödinger equation on the half-axis and a broad family of finite-difference schemes with the discrete transparent boundary conditions (TBCs) to solve it. We first rewrite the discrete TBCs in a simplified form explicit in space step

Publisher

Walter de Gruyter GmbH

Subject

Modeling and Simulation,Numerical Analysis

Reference9 articles.

1. The high order method with discrete TBCs for solving the Cauchy problem for the Schrödinger equation No ZlotnikAZlotnikIThe high order method with discrete TBCs for solving the Cauchy problem for the Schrödinger equationComput No;Zlotnik;Comput Meth Appl Math Meth Appl Math,2015

2. Numerov extension of transparent boundary conditions for the Schrödinger equation discretized in one dimension No MoyerC ANumerov extension of transparent boundary conditions for the Schrödinger equation discretized in one dimensionAmer No;Moyer;Amer J Phys J Phys,2004

3. Quantum mechanics of electrons in crystals with graded composition GellerM RKohnWQuantum mechanics of electrons in crystals with graded compositionPhys;Geller;Phys Rev Lett Rev Lett,1993

4. Discrete transparent boundary conditions for the numerical solution of Fresnel s equation No SchmidtFDeuflhardPDiscrete transparent boundary conditions for the numerical solution of Fresnel s equationComput No;Schmidt;Comput Math Appl Math Appl,1995

5. Discrete transparent boundary conditions for the Schrödinger equation Parma EhrhardtMArnoldADiscrete transparent boundary conditions for the Schrödinger equationRiv Parma;Ehrhardt;Riv Mat Univ Mat Univ,2001

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