Dynamic invariants and the berry phase for generalized driven harmonic oscillators

Barbara Sanborn, Sergei Suslov, Luc Vinet

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

We present quadratic dynamic invariants and evaluate the Berry phase for the time-dependent Schrödinger equation with the most general variable quadratic Hamiltonian.

Original languageEnglish (US)
Pages (from-to)486-494
Number of pages9
JournalJournal of Russian Laser Research
Volume32
Issue number5
DOIs
StatePublished - Aug 1 2011

Keywords

  • Berry phase
  • Ermakov-type system
  • Green function
  • dynamic invariants
  • generalized harmonic oscillators
  • time-dependent Schrödinger equation

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Engineering (miscellaneous)

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