Semiclassical asymptotics and gaps in the spectra of magnetic Schroedinger operators

Details Semiclassical asymptotics and gaps in the spectra of magnetic Schroedinger operators Semiclassical asymptotics and gaps in the spectra of magnetic Schroedinger operators

2001-02-02

arxiv.org/abs/math/0102021v3

Geometriae Dedicata, vol. 91, no. 1, (2002) 155-173.

Mathematics

Spectral Theory

18 pages, Latex2e, more typos corrected

Scientific paper

In this paper, we study an L2 version of the semiclassical approximation of
magnetic Schroedinger operators with invariant Morse type potentials on
covering spaces of compact manifolds. In particular, we are able to establish
the existence of an arbitrary large number of gaps in the spectrum of these
operators, in the semiclassical limit as the coupling constant goes to zero.

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