Semiclassical asymptotics and gaps in the spectra of magnetic Schrödinger operators

DOI10.1023/A:1016245930716zbMath1007.58016arXivmath/0102021OpenAlexW1986656105MaRDI QIDQ1611628

Varghese Mathai, Mikhail A. Shubin

Publication date: 21 August 2002

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0102021

zbMATH Keywords

spectral gapsmagnetic Schrödinger operatorsvon Neumann traceMorse potentialsWitten semiclassical approximation

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Applications of selfadjoint operator algebras to physics (46L60) Geometry of quantum groups (58B32)

Related Items (6)

Spectral gaps for periodic Schrödinger operators with strong magnetic fields ⋮ Discrete connection Laplacians ⋮ Semiclassical asymptotics and gaps in the spectra of periodic Schrödinger operators with magnetic wells ⋮ An overview of periodic elliptic operators ⋮ Periodic magnetic Schrödinger operators: spectral gaps and tunneling effect ⋮ Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: analysis near the bottom

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