The Heisenberg oscillator

DOI10.1007/s13373-012-0021-zzbMath1250.22011arXiv1108.3275OpenAlexW2072022809MaRDI QIDQ2908965

Veronique Fischer

Publication date: 29 August 2012

Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3275

zbMATH Keywords

nilpotent Lie groupsharmonic oscillatorrepresentation of nilpotent Lie groups

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Analysis on other specific Lie groups (43A80)

Related Items (2)

Harmonic and anharmonic oscillators on the Heisenberg group ⋮ Schrödinger operators on Lie groups with purely discrete spectrum

Cites Work

• On the spectrum and eigenfunctions of the Schrödinger operator with Aharonov--Bohm magnetic field
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
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