An analogue of the Berry phase for simple harmonic oscillators

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6 Scopus citations


We evaluate a variant of Berry's phase for a 'missing' family of the square integrable wavefunctions for the linear harmonic oscillator, which cannot be derived by the separation of variables (in a natural way). Instead, it is obtained by the action of the maximal kinematical invariance group on the standard solutions. A simple closed formula for the phase (in terms of elementary functions) is found here by integration with the help of a computer algebra system.

Original languageEnglish (US)
Article number038118
JournalPhysica Scripta
Issue number3
StatePublished - Mar 1 2013

ASJC Scopus subject areas

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


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