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VOL. 23 | 1994 On Spectral Theory for Schrödinger Operators with Magnetic Potentials

Abstract

In this survey, we want to analyze the effect of the presence of a magnetic potential on the spectrum of the Schrödinger operator with magnetic field. We consider three connected problems:

  • study of the bottom of the spectrum

  • study of the bottom of the essential spectrum

  • study of the decay of the eigenfunctions.

We think this survey is complementary to other presentations of the subject in [12], [20] and [49].

Information

Published: 1 January 1994
First available in Project Euclid: 15 August 2018

zbMATH: 0816.35100

Digital Object Identifier: 10.2969/aspm/02310113

Rights: Copyright © 1994 Mathematical Society of Japan

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