• search hit 1025 of 1103
Back to Result List

Approximation and fast calculation of non-local boundary conditions for the time-dependent Schrödinger equation

Please always quote using this URN:urn:nbn:de:0296-matheon-932
  • We present a way to efficiently treat the well-known transparent boundary conditions for the Schrödinger equation. Our approach is based on two ideas: firstly, to derive a discrete transparent boundary condition (DTBC) based on the Crank-Nicolson finite difference scheme for the governing equation. And, secondly, to approximate the discrete convolution kernel of DTBC by sum-of-exponentials for a rapid recursive calculation of the convolution. We illustrate the efficiency of the proposed method on several examples.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Anton Arnold, Matthias Ehrhardt, Ivan Sofronov
URN:urn:nbn:de:0296-matheon-932
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2004/02/17
Release Date:2004/02/16
Institute:Technische Universität Berlin
Preprint Number:85
Verstanden ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.