The Heisenberg oscillator

Véronique Fischer

doi:10.1007/s13373-012-0021-z

The Heisenberg oscillator

Véronique Fischer

King's College London

Research output: Contribution to journal › Article › peer-review

2 Citations (SciVal)

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 = R_{x, y} ² × R where L stands for the positive sublaplacian.

Original language	English
Pages (from-to)	181-191
Number of pages	11
Journal	Bulletin of Mathematical Sciences
Volume	2
Issue number	1
DOIs	https://doi.org/10.1007/s13373-012-0021-z
Publication status	Published - 1 Jan 2012

Keywords

Harmonic oscillator
Nilpotent Lie groups
Representation of nilpotent Lie groups

ASJC Scopus subject areas

General Mathematics

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10.1007/s13373-012-0021-z

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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.",

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KW - Nilpotent Lie groups

KW - Representation of nilpotent Lie groups

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The Heisenberg oscillator

Abstract

Keywords

ASJC Scopus subject areas

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