A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear Schrödinger Equations

Year:    2008

Communications in Computational Physics, Vol. 4 (2008), Iss. 4 : pp. 729–796

Abstract

In this review article we discuss different techniques to solve numerically the time-dependent Schrödinger equation on unbounded domains. We present in detail the most recent approaches and describe briefly alternative ideas pointing out the relations between these works. We conclude with several numerical examples from different application areas to compare the presented techniques. We mainly focus on the one-dimensional problem but also touch upon the situation in two space dimensions and the cubic nonlinear case.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-CiCP-7814

Communications in Computational Physics, Vol. 4 (2008), Iss. 4 : pp. 729–796

Published online:    2008-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    68

Keywords: