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Title: On the correspondence of semiclassical and quantum phases in cyclic evolutions

Abstract

Based on the exactly solvable case of a harmonic oscillator, the authors show that the direct correspondence between the Bohr-Sommerfeld phase of semiclassical quantum mechanics and the topological phase of Aharonov and Anandan is restricted to the case of a coherent state. For other Gaussian wave packets the geometric quantum phase strongly depends on the amount of squeezing. 12 refs.

Authors:
 [1];  [2]
  1. Jozsef Attila Univ., Szeged (Hungary)
  2. Universitaet, Ulm (Germany)
Publication Date:
OSTI Identifier:
6176835
Resource Type:
Journal Article
Journal Name:
Foundations of Physics; (United States)
Additional Journal Information:
Journal Volume: 23:3; Journal ID: ISSN 0015-9018
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HARMONIC OSCILLATORS; QUANTUM MECHANICS; SEMICLASSICAL APPROXIMATION; AHARONOV-BOHM EFFECT; QUANTIZATION; TOPOLOGY; WAVE PACKETS; ELECTRONIC EQUIPMENT; EQUIPMENT; MATHEMATICS; MECHANICS; OSCILLATORS; 661100* - Classical & Quantum Mechanics- (1992-)

Citation Formats

Benedict, M G, and Schleich, W. On the correspondence of semiclassical and quantum phases in cyclic evolutions. United States: N. p., 1993. Web. doi:10.1007/BF01883719.
Benedict, M G, & Schleich, W. On the correspondence of semiclassical and quantum phases in cyclic evolutions. United States. https://doi.org/10.1007/BF01883719
Benedict, M G, and Schleich, W. 1993. "On the correspondence of semiclassical and quantum phases in cyclic evolutions". United States. https://doi.org/10.1007/BF01883719.
@article{osti_6176835,
title = {On the correspondence of semiclassical and quantum phases in cyclic evolutions},
author = {Benedict, M G and Schleich, W},
abstractNote = {Based on the exactly solvable case of a harmonic oscillator, the authors show that the direct correspondence between the Bohr-Sommerfeld phase of semiclassical quantum mechanics and the topological phase of Aharonov and Anandan is restricted to the case of a coherent state. For other Gaussian wave packets the geometric quantum phase strongly depends on the amount of squeezing. 12 refs.},
doi = {10.1007/BF01883719},
url = {https://www.osti.gov/biblio/6176835}, journal = {Foundations of Physics; (United States)},
issn = {0015-9018},
number = ,
volume = 23:3,
place = {United States},
year = {Mon Mar 01 00:00:00 EST 1993},
month = {Mon Mar 01 00:00:00 EST 1993}
}