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Title: Time-dependent Schroedinger equations having isomorphic symmetry algebras. I. Classes of interrelated equations

Abstract

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.

Authors:
 [1];  [2]
  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)
Publication Date:
OSTI Identifier:
20216305
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Physics
Additional Journal Information:
Journal Volume: 41; Journal Issue: 5; Other Information: PBD: May 2000; Journal ID: ISSN 0022-2488
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SCHROEDINGER EQUATION; SYMMETRY GROUPS; ALGEBRA; TRANSFORMATIONS; HAMILTONIANS; THEORETICAL DATA

Citation Formats

Nieto, Michael Martin, and Truax, D. Rodney. Time-dependent Schroedinger equations having isomorphic symmetry algebras. I. Classes of interrelated equations. United States: N. p., 2000. Web. doi:10.1063/1.533268.
Nieto, Michael Martin, & Truax, D. Rodney. Time-dependent Schroedinger equations having isomorphic symmetry algebras. I. Classes of interrelated equations. United States. doi:10.1063/1.533268.
Nieto, Michael Martin, and Truax, D. Rodney. Mon . "Time-dependent Schroedinger equations having isomorphic symmetry algebras. I. Classes of interrelated equations". United States. doi:10.1063/1.533268.
@article{osti_20216305,
title = {Time-dependent Schroedinger equations having isomorphic symmetry algebras. I. Classes of interrelated equations},
author = {Nieto, Michael Martin and Truax, D. Rodney},
abstractNote = {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.},
doi = {10.1063/1.533268},
journal = {Journal of Mathematical Physics},
issn = {0022-2488},
number = 5,
volume = 41,
place = {United States},
year = {2000},
month = {5}
}