Published May 2, 2005 | Version v1
Journal article

On the relation between the Wigner function and an exact dynamical invariant

  • 1. Instituto de Fisica, Universidad Nacional Autonoma de Mexico, Apartado Postal 20-364, 01000 Mexico D.F. (Mexico)

Description

The wave packet solution of the time-dependent Schroedinger equation for the harmonic oscillator with time-dependent frequency yields a coupled pair of equations of motion for the mean value and uncertainty of position which corresponds to an exact dynamical invariant. Its relation to the corresponding time-dependent Wigner function will be shown

Additional details

Identifiers

DOI
10.1016/j.physleta.2005.02.057;
PII
S0375-9601(05)00335-X;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
338
Journal Issue
3-5
Journal Page Range
p. 225-231
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37033988
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
EQUATIONS OF MOTION; FUNCTIONS; HARMONIC OSCILLATORS; MATHEMATICAL SOLUTIONS; SCHROEDINGER EQUATION; TIME DEPENDENCE; WAVE PACKETS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS

Optional Information

Copyright
Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.