Published May 30, 2003 | Version v1
Journal article

Generalized coherent states for the double-well potential

  • 1. Instituto de Fisica de Sao Carlos, Universidade de Sao Paulo, CP 369, 13560-970, Sao Carlos, SP (Brazil)
  • 2. Instituto de Fisica 'Gleb Wataghin', Universidade Estadual de Campinas, 83-970, Campinas, SP (Brazil)

Description

We construct generalized coherent states for the one-dimensional double-well potential and calculate their Mandel parameter, uncertainty relation and Wigner functions. The singularities of their autocorrelation function undergo bifurcations as the mean energy of the system is varied, and we analyse their structure. In the high-energy regime these states consist of a coherent superposition of two minimum-uncertainty Gaussians (they are Schroedinger catlike states)

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/36/5773/a32107.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
36
Journal Issue
21
Journal Page Range
p. 5773-5786
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
34044237
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANNIHILATION OPERATORS; BIFURCATION; CORRELATION FUNCTIONS; EIGENSTATES; NUCLEAR POTENTIAL; SINGULARITY; WIGNER THEORY
Descriptors DEC
FUNCTIONS; MATHEMATICAL OPERATORS; POTENTIALS; QUANTUM OPERATORS