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math-phJun 16, 2021
authors
  • Ben Sorowen
arXiv abstractPDF
paper

Estimation of the number of negative eigenvalues of magnetic Schrödinger operators in a strip

arXiv:2106.08625

Abstract

An upper estimate for the number of negative eigenvalues below the essential spectrum for the magnetic Schrödinger operator with Aharonov-Bohm magnetic field in a strip is obtained. Its further shown that the estimate does not hold in absence of Aharonov-Bohm magnetic field.

References in corpus (9)

  • Analogs of quantum Hall effect edge states in photonic crystals
  • Stability of the magnetic Schrödinger operator in a waveguide
  • Spectrum of the Magnetic Schrodinger Operator in a Waveguide with Combined Boundary Conditions
  • Spectral Properties of a Magnetic Quantum Hamiltonian on a Strip
  • Eigenvalue bounds for two-dimensional magnetic Schroedinger operators
  • Saturation properties of nuclear matter in the presence of strong magnetic field
  • On the asymptotic number of edge states for magnetic Schrödinger operators
  • Partial Data for the Neumann-Dirichlet Magnetic Schrödinger Inverse Problem
  • Magnetic Schroedinger operators with radially symmetric magnetic field and radially symmetric electric potential
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