Spectral gaps for periodic Schr\"odinger operators with hypersurface magnetic wells

zbMath1156.81384arXiv0801.4460MaRDI QIDQ3596965

Bernard Helffer, Yurii A. Kordyukov

Publication date: 9 February 2009

Full work available at URL: https://arxiv.org/abs/0801.4460

zbMATH Keywords

Riemannian manifoldssemiclassical limitspectral gapsquasimodesmagnetic Schrödinger operatormagnetic well

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (4)

Helical magnetic fields and semi-classical asymptotics of the lowest eigenvalue ⋮ Spectral summability for the quartic oscillator with applications to the Engel group ⋮ Spectral properties of higher order anharmonic oscillators ⋮ A uniqueness theorem for higher order anharmonic oscillators

This page was built for publication: Spectral gaps for periodic Schr\"odinger operators with hypersurface magnetic wells