QUASI-CLASSICAL VERSUS NON-CLASSICAL SPECTRAL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS WITH DECREASING ELECTRIC POTENTIALS
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Publication:4420466
DOI10.1142/S0129055X02001491zbMath1033.81038arXivmath-ph/0201006MaRDI QIDQ4420466
Simone Warzel, Georgi D. Raikov
Publication date: 17 August 2003
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0201006
Applications of operator theory in the physical sciences (47N50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
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Cites Work
- Eigenvalue branches of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
- Border-line eigenvalue asymptotics for the Schrödinger operator with electromagnetic potential
- Schrödinger operators with magnetic fields. I: General interactions
- Poissonian obstacles with Gaussian walls discriminate between classical and quantum Lifshits tailing in magnetic fields
- Upper bounds on the density of states of single Landau levels broadened by Gaussian random potentials
- Eigenvalue asymptotics for the södinger operator
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