Abstract
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 language | English |
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Pages (from-to) | 181-191 |
Number of pages | 11 |
Journal | Bulletin of Mathematical Sciences |
Volume | 2 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2012 |
Keywords
- Harmonic oscillator
- Nilpotent Lie groups
- Representation of nilpotent Lie groups
ASJC Scopus subject areas
- General Mathematics