Spectral fluctuations and zeta functions

DOI10.1007/BF01011157zbMath0692.58027OpenAlexW2050974792MaRDI QIDQ583681

Jianyong Qiao, Sumit K. Garg

Publication date: 1987

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01011157

zbMATH Keywords

billiardszeta functionLaplaciantrace identitiesquantum chaoseigenvalue spectra

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (5)

Spectral functions, special functions and the Selberg zeta function ⋮ Zeta functions for the Riemann zeros. ⋮ Exact partition functions and correlation functions of multiple Hamiltonian walks on the Manhattan lattice. ⋮ Some mathematical problems in the theory of quantum chaos ⋮ Can one ‘‘hear’’ the thermodynamics of a (rough) colloid?

Cites Work

• Zeta function regularization of path integrals in curved spacetime
• Level clustering in the regular spectrum
• Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
• Can One Hear the Shape of a Drum?
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