EQUIVALENCE OF TIME-DEPENDENT SCHRÖDINGER EQUATIONS  WITH CONSTANT AND TIME-DEPENDENT MASS

SCHULZE-HALBERG, AXEL

doi:10.1142/s0217732303012829

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EQUIVALENCE OF TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH CONSTANT AND TIME-DEPENDENT MASS

SCHULZE-HALBERG, AXEL Department of Mathematics, Swiss Federal Institute of Technology Zürich (ETH), ETH-Zentrum HG E 18.4, CH-8092 Zürich, Switzerland

2011-11-21

Published in:

Modern Physics Letters A. - World Scientific Pub Co Pte Lt. - 2003, vol. 18, no. 39, p. 2829-2835

Nuclear and High Energy Physics

Astronomy and Astrophysics

English We show that the time-dependent Schrödinger equation (TDSE) for a potential of the form V(x,t)=A(t)x2+B(t)x+C(t) and time-dependent mass can be transformed into the same TDSE with constant mass. We obtain an explicit formula relating solutions of the TDSE for time-dependent mass and for constant mass to each other.

Language

English

Open access status

closed

Identifiers

DOI 10.1142/s0217732303012829
ISSN 0217-7323

Persistent URL

https://sonar.ch/global/documents/238981

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