High orders of the Weyl expansion for quantum billiards: resurgence of periodic orbits, and the Stokes phenomenon
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Publication:4833587
DOI10.1098/rspa.1994.0154zbMath0826.58032OpenAlexW2158825819MaRDI QIDQ4833587
Publication date: 22 November 1995
Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.1994.0154
Quantum chaos (81Q50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Applications of dynamical systems (37N99)
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The flexibility in choosing distinct Green’s functions for the boundary wall method: waveguides and billiards ⋮ Uniform asymptotic expansions of integrals: A selection of problems ⋮ Dirichlet and Neumann heat invariants for Euclidean balls ⋮ Asymptotics of the heat exchange. ⋮ Neumann heat content asymptotics with singular initial temperature and singular specific heat ⋮ Gutzwiller's semiclassical trace formula and Maslov-type index theory for symplectic paths ⋮ Rashba billiards ⋮ Growth of heat trace and heat content asymptotic coefficients ⋮ High orders of Weyl series for the heat content ⋮ Weyl formulas for quantum ray-splitting billiards ⋮ Normal forms and complex periodic orbits in semiclassical expansions of Hamiltonian systems ⋮ Periodic Orbit Quantization beyond the Semiclassical Theory ⋮ Growth of heat trace coefficients for locally symmetric spaces
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