Reconstructing the Schrödinger groups

R. M. López, Sergei Suslov, J. M. Vega-Guzmán

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

We discuss the maximum kinematical invariance group of the quantum harmonic oscillator from the viewpoint of a Ermakov-type system. As an example, we consider a six-parameter family of the square integrable oscillator wave functions, which appears to be not obtainable by standard separation of variables. Finally, the invariance group of the generalized driven harmonic oscillator is shown to be isomorphic to the corresponding Schrödinger group of the free particle.

Original languageEnglish (US)
Article number038112
JournalPhysica Scripta
Volume87
Issue number3
DOIs
StatePublished - Mar 1 2013

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Condensed Matter Physics

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