The harmonic oscillator on the Heisenberg group

DOI10.5802/crmath.78zbMath1451.35245arXiv2005.12095OpenAlexW3085002606MaRDI QIDQ2208993

David Rottensteiner, Michael Ruzhansky

Publication date: 28 October 2020

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.12095

zbMATH Keywords

stratified Dynin-Folland Lie algebra

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (3)

Harmonic and anharmonic oscillators on the Heisenberg group ⋮ Schrödinger operators on Lie groups with purely discrete spectrum ⋮ Cross-Toeplitz operators on the Fock-Segal-Bargmann spaces and two-sided convolutions on the Heisenberg group

Cites Work

• Spectral theory of operators related to representations of nilpotent groups
• Minimum Eigenvalues for Positive, Rockland Operators
• Caracterisation des operateurs hypoelliptiques homogenes
• Harmonic Analysis in Phase Space. (AM-122)
• Spectral Theory and Representations\\ of Nilpotent Groups
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