The essential spectrum of Schrödinger operators on lattices

  title={The essential spectrum of Schr{\"o}dinger operators on lattices},
  author={Vladimir S. Rabinovich and Steffen Roch},
The paper is devoted to the study of the essential spectrum of discrete Schrödinger operators on the lattice Z by means of the limit operators method. This method has been applied by one of the authors to describe the essential spectrum of (continuous) electromagnetic Schrödinger operators, square-root Klein-Gordon operators, and Dirac operators under quite weak assumptions on the behavior of the magnetic and electric potential at infinity. The present paper is aimed to illustrate the… CONTINUE READING
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