The short time asymptotics of the traces of the heat kernels for the magnetic Schrödinger operators

DOI10.2969/jmsj/04240677zbMath0729.35094OpenAlexW1983777807MaRDI QIDQ805909

Hiroyuki Matsumoto

Publication date: 1990

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04240677

zbMATH Keywords

Schrödinger operatorsmagnetic vector potentialtrace of heat kernelnumbers of eigenvalues

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Initial value problems for second-order parabolic equations (35K15)

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Estimates on stochastic oscillatory integrals and on the heat kernel of the magnetic Schrödinger operator, Magnetic Lieb-Thirring inequalities, Semiclassical asymptotics of eigenvalue distributions for schrödinger operators with magnetic fields, Heat kernels of two-dimensional magnetic Schrödinger and Pauli operators, Dia- and paramagnetism for nonhomogeneous magnetic fields, Classical and non-classical eigenvalue asymptotics for magnetic Schrödinger operators, Ground-state density of the Pauli operator in the large field limit, Lower Bound on Quantum Tunneling for Strong Magnetic Fields