Border-line eigenvalue asymptotics for the Schrödinger operator with electromagnetic potential

DOI10.1007/BF01198942zbMath0784.35072MaRDI QIDQ1191291

Georgi D. Raikov

Publication date: 27 September 1992

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatoreigenvalue asymptoticsisolated eigenvaluesessential-spectrum

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (8)

Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains ⋮ On the spectrum of Bargmann-Toeplitz operators with symbols of a variable sign ⋮ Eigenvalue asymptotics for the Schrödinger operator with steplike magnetic field and slowly decreasing electric potential ⋮ Lieb-Thirring type inequalities for non-self-adjoint perturbations of magnetic Schrödinger operators ⋮ QUASI-CLASSICAL VERSUS NON-CLASSICAL SPECTRAL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS WITH DECREASING ELECTRIC POTENTIALS ⋮ Eigenvalue asymptotics for the schrodinger operator in strong constant magnetic fields ⋮ Eigenvalue asymptotics for the Maass Hamiltonian with decreasing electric potentials ⋮ Spectral asymptotics for magnetic Schrödinger operators with rapidly decreasing electric potentials.

Cites Work

• Asymptotic distribution of eigenvalues for Schrödinger operators with homogeneous magnetic fields
• Corrections to the classical behavior of the number of bound states of Schrödinger operators
• Eigenvalue asymptotics for the södinger operator
• Schrödinger operators with singular magnetic vector potentials
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