Path integration over closed loops and Gutzwiller's trace formula

DOI10.1016/S0370-1573(03)00212-6zbMath1042.81020arXivnlin/0210047OpenAlexW2005585843MaRDI QIDQ1403426

Paolo Muratore-Ginanneschi

Publication date: 1 September 2003

Published in: Physics Reports (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0210047

zbMATH Keywords

functional determinant theorylinear nonsingular elliptic operatorssemiclassical quantum energy density

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items

Extension of the Conley-Zehnder index, a product formula, and an application to the Weyl representation of metaplectic operators, On the Unraveling of Open Quantum Dynamics, An approximation to Wiener measure and quantization of the Hamiltonian on manifolds with non-positive sectional curvature, Generally covariant state-dependent diffusion, On a product formula for the Conley-Zehnder index of symplectic paths and its applications, Gutzwiller's semiclassical trace formula and Maslov-type index theory for symplectic paths, Computing the Maslov index of solitary waves. I: Hamiltonian systems on a four-dimensional phase space, On the Weyl representation of metaplectic operators, Spectral statistics of chaotic many-body systems, A Gutzwiller trace formula for Dirac operators on a stationary spacetime

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