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

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3355198· OSTI ID:21335937

Schulze-Halberg, Axel ^[1]

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

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.

• OSTI ID: 21335937
• Journal Information: Journal of Mathematical Physics, Vol. 51, Issue 3; Other Information: DOI: 10.1063/1.3355198; (c) 2010 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
SCHROEDINGER EQUATION
THREE-DIMENSIONAL CALCULATIONS
TRANSFORMATIONS
TWO-DIMENSIONAL CALCULATIONS