On the correspondence of semiclassical and quantum phases in cyclic evolutions

M. G. Benedict, W. Schleich

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Based on the exactly solvable case of a harmonic oscillator, we 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.

Original languageEnglish
Pages (from-to)389-397
Number of pages9
JournalFoundations of Physics
Volume23
Issue number3
DOIs
Publication statusPublished - Mar 1 1993

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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