On estimation of the number of eigenvalues of the magnetic Schrödinger operator in a three-dimensional layer

DOI10.3906/mat-2107-43zbMath1496.35263OpenAlexW3198922695MaRDI QIDQ5099157

Araz R. Aliev, Sh. Sh. Rajabov, Elshad H. Eyvazov

Publication date: 31 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2107-43

zbMATH Keywords

critical magnetic fieldmagnetic Schrödinger operatorsuperconductor of the second kind

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

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• Discrete spectrum of a model Schrödinger operator on the half-plane with Neumann conditions
• Eigenstates of the Neumann magnetic Laplacian with vanishing magnetic field
• Spectral methods in surface superconductivity
• Concentration behavior and lattice structure of 3D surface superconductivity in the half space
• Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity
• Hearing the zero locus of a magnetic field
• Remarks on the spectrum of the Neumann problem with magnetic field in the half-space
• Schrödinger operators with non-degenerately vanishing magnetic fields in bounded domains
• Schrödinger operators with singular magnetic vector potentials
• Magnetic bottles in connection with superconductivity

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