Feynman integrals and Fredholm determinants

DOI10.1063/1.530857zbMath0816.46080OpenAlexW2079866215MaRDI QIDQ4318032

Jorge Rezende

Publication date: 23 January 1995

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

Full work available at URL: https://doi.org/10.1063/1.530857

zbMATH Keywords

semiclassical approximationFubini theoremtranslation invarianceCameron-Martin formulaFeynman integralsproduct formula for Fredholm determinants

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Applications of functional analysis in quantum physics (46N50)

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Cites Work

• The method of stationary phase for oscillatory integrals on Hilbert spaces
• Oscillatory integrals and the method of stationary phase in infinitely many dimensions, with applications to the classical limit of quantum mechanics. I
• Feynman path integrals and the trace formula for the Schrödinger operators
• A note on Borel summability