Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Discrete transparent boundary conditions for Schroedinger-type equations

Journal Article · · Journal of Computational Physics
 [1];  [2]
  1. Konrad-Zuse Zentrum fuer Informationstechnik Berlin, Berlin-Dahlem (Germany)
  2. Queen`s Univ., Kingston, Ontario (Canada)
We present a general technique for constructing nonlocal transparent boundary conditions for one-dimensional Schroedinger-type equations. Our method supplies boundary conditions for the {theta}-family of implicit one-step discretizations of Schroedinger`s equation in time. The use of Mikusinski`s operator approach in time avoids direct and inverse transforms between time and frequency domains and thus implements the boundary conditions in a direct manner. 14 refs., 9 figs.
OSTI ID:
535255
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 1 Vol. 134; ISSN JCTPAH; ISSN 0021-9991
Country of Publication:
United States
Language:
English

Similar Records

Absorbing boundary conditions for nonlinear Schroedinger equations
Journal Article · Fri Sep 15 04:00:00 UTC 2006 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics · OSTI ID:21072319

Nonreflective boundary conditions for Schroedinger's equation
Thesis/Dissertation · Sun Jan 01 04:00:00 UTC 1989 · OSTI ID:5217430

Schroedinger equation for a noninteracting Bose gas on a spatiotemporal lattice
Journal Article · Sat Feb 01 04:00:00 UTC 2003 · Physical Review. A · OSTI ID:20633677