Dynamic invariants and the berry phase for generalized driven harmonic oscillators

Barbara Sanborn, Sergei Suslov, Luc Vinet

Research output: Contribution to journalArticle

9 Citations (Scopus)

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 2011

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Hamiltonians
harmonic oscillators

Keywords

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

ASJC Scopus subject areas

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

Cite this

Dynamic invariants and the berry phase for generalized driven harmonic oscillators. / Sanborn, Barbara; Suslov, Sergei; Vinet, Luc.

In: Journal of Russian Laser Research, Vol. 32, No. 5, 08.2011, p. 486-494.

Research output: Contribution to journalArticle

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