1995/02/28 by E. Doron, Eyal Doron, Doron, Eyal
Engineering · Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Geophysics and Sensor Technology #Mathematical Analysis and Transform Methods #chao-dyn #nlin.CD
paper · pdf · doi:10.48550/arxiv.chao-dyn/9502025
10 pages REVTeX and 2 Postscript figures in uuencoded TAR'ed compressed format, figures reformatted for Legal size paper, Email: [email protected]
openalex publication_date 1995/03/02 · arxiv created 1995/03/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We evaluate the Gutzwiller trace formula for the level density of classically chaotic systems by considering the level density in a bounded energy range and truncating its Fourier integral. This results in a limiting procedure which comprises a convergent semiclassical approximation to a well defined spectral quantity at each stage. We test this result on the spectrum of zeros of the Riemann zeta function, obtaining increasingly good approximations to the level density. The Fourier approach also explains the origin of the convergence problems encountered by the orbit truncation scheme.