Spectral quasi-clustering estimates for certain semiregular systems

DOI10.1016/j.bulsci.2024.103423zbMATH Open1542.35268MaRDI QIDQ6553371

Alberto Parmeggiani, Marcello Malagutti

Publication date: 11 June 2024

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

non-commutative harmonic oscillatorsWeyl-calculusspectral theory and eigenvalue problems for PDEsquasi-clustering

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

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• On the spectrum of certain non-commutative harmonic oscillators and semiclassical analysis
• Oscillator representations and systems of ordinary differential equations
• Non-commutative harmonic oscillators-II
• The Jaynes-Cummings Model
• Non-commutative harmonic oscillators-I
• Spectral asymptotic properties of semiregular non-commutative harmonic oscillators

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