The Heisenberg oscillator

Research output: Contribution to journalArticlepeer-review


In this short note, we determine the spectrum of the Heisenberg oscillator which is the operator defined as L+|x|2+|y|2 on the Heisenberg group H1 = Rx, y 2 × R where L stands for the positive sublaplacian.

Original languageEnglish
Pages (from-to)181-191
Number of pages11
JournalBulletin of Mathematical Sciences
Issue number1
Publication statusPublished - 1 Jan 2012


  • Harmonic oscillator
  • Nilpotent Lie groups
  • Representation of nilpotent Lie groups

ASJC Scopus subject areas

  • Mathematics(all)

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