Published May 2000
| Version v1
Journal article
Time-dependent Schroedinger equations having isomorphic symmetry algebras. I. Classes of interrelated equations
Creators
- 1. Theoretical Division (MS-B285), Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545 (United States)
- 2. Department of Chemistry, University of Calgary, Calgary, Alberta T2N 1N4, (Canada)
Description
In this paper, we focus on a general class of Schroedinger equations that are time dependent and quadratic in X and P. We transform Schroedinger equations in this class, via a class of time-dependent mass equations, to a class of solvable time-dependent oscillator equations. This transformation consists of a unitary transformation and a change in the ''time'' variable. We derive mathematical constraints for the transformation and introduce two examples. (c) 2000 American Institute of Physics
Additional details
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 41
- Journal Issue
- 5
- Journal Page Range
- p. 2741-2752
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 32059974
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Numerical Data
- Descriptors DEI
- ALGEBRA; HAMILTONIANS; SCHROEDINGER EQUATION; SYMMETRY GROUPS; THEORETICAL DATA; TRANSFORMATIONS
- Descriptors DEC
- DATA; DIFFERENTIAL EQUATIONS; EQUATIONS; INFORMATION; MATHEMATICAL OPERATORS; MATHEMATICS; NUMERICAL DATA; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; WAVE EQUATIONS
- Proposed descriptors and Free-text terms
- Schrodinger equation