• Corpus ID: 247922836

A 3D-Schroedinger operator under magnetic steps

  title={A 3D-Schroedinger operator under magnetic steps},
  author={W. Assaad and Emanuela L Giacomelli},
. We define a Schrödinger operator on the half-space with a discontinuous magnetic field having a piecewise-constant strength and a uniform direction. Motivated by applications in the theory of superconductivity, we study the infimum of the spectrum of the operator. We further give sufficient conditions on the strength and the direction of the magnetic field such that the aforementioned infimum is an eigenvalue of a reduced model operator on the half-plane. 

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