Localization of the essential spectrum of the energy operators of \(n\)- particle quantum systems in a magnetic field

DOI10.1007/BF01014810zbMath0801.35096OpenAlexW1985841604MaRDI QIDQ1330730

G. M. Zhislin, Semjon A. Vugalter

Publication date: 14 August 1994

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01014810

zbMATH Keywords

\(n\)-particle HamiltoniansSO(2) symmetry

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70)

Related Items

Limits on stability of positive molecular ions in a homogeneous magnetic field ⋮ The essential spectrum of Schrödinger, Jacobi, and CMV operators ⋮ Scattering theory for 3-particle systems in constant magnetic fields: dispersive case ⋮ Spectral properties of Hamiltonians with a magnetic field under fixation of pseudomomentum. II. ⋮ Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomomentum. I

Cites Work

• Schrödinger operators with magnetic fields. I: General interactions
• Separation of center of mass in homogeneous magnetic fields
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