The effects of a magnetic field on asymptotics of the trace of the heat kernel

DOI10.1016/0022-1236(88)90019-5zbMath0657.46028OpenAlexW2052119699MaRDI QIDQ1110777

K. Odencrantz

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90019-5

zbMATH Keywords

weighted Sobolev spacegauge invarianceuniform magnetic field on the trace of the heat kernel for a Schrödinger operator with a well type poential

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Schrödinger operator, Schrödinger equation (35J10) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (2)

The effects of a magnetic field on asymptotics of the trace of the heat kernel ⋮ Classical and non-classical eigenvalue asymptotics for magnetic Schrödinger operators

Cites Work

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• Small h asymptotics for quantum partition functions associated to particles in external Yang-Mills potentials
• Magnetic Schrödinger operators with compact resolvent
• The effects of a magnetic field on asymptotics of the trace of the heat kernel
• The spectrum of positive elliptic operators and periodic bicharacteristics
• A general calculus of pseudodifferential operators
• Schrödinger semigroups
• Proprietes asymptotiques du spectre dioperateurs pseuwdifferentiels sur IRⁿ
• Proprietes spectrales d'operators pseduo-differentiels

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