Remarks on geometric quantum mechanics

Mauro Spera, Alberto Benvegnù, Nicola Sansonetto

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

Pursuing the aims of geometric quantum mechanics, it is shown in a geometrical fashion that, at least in finite dimensions, Schroedinger dynamics enjoys classical complete integrability, and several consequences therefrom are deduced, including a Hannay-type reinterpretation of Berry's phase and a geometric description of some aspects of the quantum measurement problem.
Original languageEnglish
Pages (from-to)229-243
Number of pages15
JournalJournal of Geometry and Physics
Volume51
DOIs
Publication statusPublished - 2004

Keywords

  • geometric quantum mechanics, complete integrability, Berry phase

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