Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomomentum. I

DOI10.1007/BF02634514zbMath0963.47509OpenAlexW1982150817MaRDI QIDQ1294946

G. M. Zhislin, Semjon A. Vugalter

Publication date: 2 July 2001

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

Full work available at URL: https://doi.org/10.1007/bf02634514

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (3)

The essential spectrum of Schrödinger, Jacobi, and CMV operators ⋮ Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomomentum. III ⋮ Spectral properties of Hamiltonians with a magnetic field under fixation of pseudomomentum. II.

Cites Work

• Unnamed Item
• On the finiteness of discrete spectrum in the n-particle problem
• Corrections to the classical behavior of the number of bound states of Schrödinger operators
• Separation of center of mass in homogeneous magnetic fields
• Localization of the essential spectrum of the energy operators of \(n\)- particle quantum systems in a magnetic field

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