Published March 2010 | Version v1
Journal article Metadata-only

Intertwining relations and Darboux transformations for Schroedinger equations in (n+1) dimensions

Creators

  • 1. Department of Mathematics and Actuarial Science, Indiana University Northwest, 3400 Broadway, Gary, Indiana 46408 (United States)

Description

We evaluate the intertwining relation for Schroedinger equations in (n+1) dimensions. The conditions for the existence of a Darboux transformation are analyzed and compared to their (1+1) dimensional counterparts. A complete solution of the conditions is given for (2+1) dimensions, and a Darboux transformation is constructed.

Additional details

Identifiers

DOI
10.1063/1.3355198;

Publishing Information

Journal Title
Journal of Mathematical Physics
Journal Volume
51
Journal Issue
3
Journal Page Range
p. 033521-033521.11
ISSN
0022-2488
CODEN
JMAPAQ

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41072131
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; SCHROEDINGER EQUATION; THREE-DIMENSIONAL CALCULATIONS; TRANSFORMATIONS; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS

Optional Information

Notes
(c) 2010 American Institute of Physics