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We give a rather general criterion which allows to determine the infimum of the essential spectrum of semi-bounded, self-adjoint Schrödinger operators with magnetic terms. In the second part of the paper we apply the criterion in a case where finding the infimum of the essential spectrum is a non-trivial issue.

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On the Infimum of the Essential Spectrum of Schrödinger Operators

  • 会议论文

  • 发表日期：

    2025年

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  • Rainer Hempel,
  • Marko Stautz

摘要

We give a rather general criterion which allows to determine the infimum of the essential spectrum of semi-bounded, self-adjoint Schrödinger operators with magnetic terms. In the second part of the paper we apply the criterion in a case where finding the infimum of the essential spectrum is a non-trivial issue.