FUNCTIONAL INTEGRAL REPRESENTATIONS AND GOLDEN–THOMPSON INEQUALITIES IN BOSON–FERMION SYSTEMS

DOI10.1142/S0129055X13500153zbMath1288.81066MaRDI QIDQ2855834

Asao Arai

Publication date: 22 October 2013

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

zbMATH Keywords

supersymmetric quantum mechanicsfunctional integralGolden-Thompson inequalityboson-fermion systemconditional oscillator measure

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Supersymmetry and quantum mechanics (81Q60)

Cites Work

• Dynamical breaking of supersymmetry
• A Golden-Thompson inequality in supersymmetric quantum mechanics
• A general class of infinite dimensional Dirac operators and path integral representation of their index
• A new estimate for the groundstate energy of Schrödinger operators
• Path integral representation of the index of Kähler-Dirac operators on an infinite dimensional manifold
• Trace formulas, a Golden-Thompson inequality and classical limit in boson Fock space
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