Spectrum and the trace formula for a two-dimensional Schrödinger operator in a homogeneous magnetic field

DOI10.1134/S0012266109040107zbMath1191.35108OpenAlexW2079257470MaRDI QIDQ731522

Kh. Kh. Murtazin, Z. Yu. Fazullin

Publication date: 8 October 2009

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266109040107

zbMATH Keywords

spectrumtrace formulamagnetictwo-dimensional Schrödinger operator

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Polynomial solutions to PDEs (35C11)

Related Items (5)

Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices ⋮ Asymptotic representation of projector kernel for 2D harmonic oscillator in a strip ⋮ Unnamed Item ⋮ The spectrum and trace formula for bounded perturbations of differential operators ⋮ Spectrum and a trace formula for a compactly supported perturbation of the 2D harmonic oscillator in a strip

Cites Work

• Unnamed Item
• Unnamed Item
• The spectrum and trace formula for the two-dimensional Schrödinger operator in a homogeneous magnetic field
• Trace formulas for nonnuclear perturbations.

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