Electronic Resource
Springer
Journal of statistical physics
46 (1987), S. 1067-1090
ISSN:
1572-9613
Keywords:
Quantum chaos
;
spectral fluctuations
;
zeta function
;
trace identities
;
billiards
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We study theoretically and numerically the role of the fluctuations of eigenvalue spectra {itμn in a particular analytical continuation process applied to the (generalized) zeta functionZ(s)=∑ n μ n −s fors large and positive. A particularly interesting example is the spectrum of the Laplacian on a triangular domain which tessellates a compact surface of constant negative curvature (of genus two). We indeed find that the fluctuations restrict the abscissa of convergence, and also affect the rate of convergence. This then initiates a new approach to the exploration of spectral fluctuations through the convergence of analytical continuation processes.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01011157
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