Semi-classical behavior of Pöschl-Teller coherent states

H. Bergeron*, J. P. Gazeau, P. Siegl, A. Youssef

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

We present a construction of semi-classical states for Pöschl-Teller potentials based on a supersymmetric quantum mechanics approach. The parameters of these "coherent" states are points in the classical phase space of these systems. They minimize a special uncertainty relation. Like standard coherent states they resolve the identity with a uniform measure. They permit to establish the correspondence (quantization) between classical and quantum quantities. Finally, their time evolution is localized on the classical phase space trajectory.

Original languageEnglish
Article number60003
JournalEPL
Volume92
Issue number6
DOIs
Publication statusPublished - 01 Dec 2010
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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