Effects of a magnetic field on the trace of the heat kernel for a Schroedinger operator with a potential well
Thesis/Dissertation
·
OSTI ID:7056525
This paper looks at the effect of a uniform magnetic field on the trace of the heat kernel for a Schroedinger operator with a well-type potential. Using weighted Sobolev space techniques and noticing the gauge invariance of the perturbation, it is shown that the magnetic field first appears at a higher term in the small-time asymptotic expansion of the trace of the heat kernel than might be naively expected.
- Research Organization:
- California Inst. of Tech., Pasadena (USA)
- OSTI ID:
- 7056525
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMPTOTIC SOLUTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
KERNELS
MAGNETIC FIELDS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
SCHROEDINGER EQUATION
WAVE EQUATIONS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMPTOTIC SOLUTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
KERNELS
MAGNETIC FIELDS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
SCHROEDINGER EQUATION
WAVE EQUATIONS