Semiclassical determinants of Schrödinger operators on line bundles

DOI10.1063/1.531020zbMath0845.58053OpenAlexW2049975293MaRDI QIDQ4873337

David Simon

Publication date: 16 April 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531020

zbMATH Keywords

Schrödinger operatorLaplacianheat invariantsline bundlessemiclassical determinants

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Methods of quantum field theory in general relativity and gravitational theory (83C47) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (1)

Semiclassical determinants of Schrödinger operators on bundles with curvature of low rank

Cites Work

• Champs magnétiques et inégalités de Morse pour la d-cohomologie. (Magnetic fields and Morse inequalities for d-cohomology)
• Demailly's asymptotic Morse inequalities: a heat equation proof
• The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle
• R-torsion and the Laplacian on Riemannian manifolds

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