期刊
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
卷 456, 期 1999, 页码 1659-1668出版社
ROYAL SOC
DOI: 10.1098/rspa.2000.0580
关键词
spectral statistics; quantum chaos; bifurcations; eigenvalues; asymptotics; fluctuations
For systems that are neither fully integrable nor fully chaotic, bifurcations of periodic orbits give rise to semiclassically emergent singularities in the fluctuating part N-fl of the energy-level counting function. The bifurcations dominate the spectral moments M-m((h) over bar)= [(N-fl)(2m)] in the limit (h) over bar --> 0. We argue that M-m((h) over bar) similar to const./(h) over bar(nu m), and calculate the twinkling exponents nu(m) as the result of a competition between bifurcations with different codimensions and repetition numbers.
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