Eigenvalue asymptotics and exponential decay of eigenfunctions for schrödinger operators with magnetic fields

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29 Scopus citations

Abstract

We consider the Schrödinger operator with magnetic field, H = (1/i▽ - a⇀(x))2 + V(x) in n. Assuming that V ≥ 0 and |curl a⇀ | + V + 1 is locally in certain reverse Holder class, we study the eigenvalue asymptotics and exponential decay of eigenfunctions.

Original languageEnglish
Pages (from-to)4465-4488
Number of pages24
JournalTransactions of the American Mathematical Society
Volume348
Issue number11
DOIs
StatePublished - 1996

Keywords

  • Eigenvalue asymptotics
  • Reverse hölder class
  • Schrödinger operator

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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