Periodic orbit resummation and the quantization of chaos

DOI10.1098/rspa.1992.0007zbMath0820.58057OpenAlexW2019459801MaRDI QIDQ3990842

Jonathan P. Keating

Publication date: 28 June 1992

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.1992.0007

zbMATH Keywords

convergencequantum chaosspectral determinantsemiclassical representation

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Quantum chaos (81Q50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (9)

Quantization of chaotic systems ⋮ Applications of periodic‐orbit theory ⋮ Zeta functions and periodic orbit theory: A review ⋮ \(\mathrm{AdS}_3/\mathrm{RMT}_2\) duality ⋮ Resummation and the semiclassical theory of spectral statistics ⋮ Correlations between spectra with different symmetries: any chance to be observed? ⋮ Spectral statistics of chaotic many-body systems ⋮ Hierarchical structure in the trace formula* ⋮ Complete dynamical evaluation of the characteristic polynomial of binary quantum graphs

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