Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae

DOI10.1142/8752zbMath1282.58001OpenAlexW4292230275MaRDI QIDQ2842216

Christian Grosche

Publication date: 13 August 2013

Full work available at URL: https://doi.org/10.1142/8752

zbMATH Keywords

homogeneous spacesRiemann surfacespath integralshyperbolic spacesSelberg trace formulastring theoryquantum mechanicsperiodic orbit theoryDarboux spacesbilliard systems

Mathematics Subject Classification ID

Quantum chaos (81Q50) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Applications of global analysis to the sciences (58Z05) Applications of manifolds of mappings to the sciences (58D30) Applications of global differential geometry to the sciences (53C80) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Analysis on supermanifolds or graded manifolds (58C50)

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