Stochastic formulation of energy-level statistics
نویسندگان
چکیده
منابع مشابه
Stochastic path integral formulation of full counting statistics.
We derive a stochastic path integral representation of counting statistics in semiclassical systems. The formalism is introduced on the simple case of a single chaotic cavity with two quantum point contacts, and then further generalized to find the propagator for charge distributions with an arbitrary number of counting fields and generalized charges. The counting statistics is given by the sad...
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A numerical study is made of the spectra of a tight-binding hamiltonian on square approximants of the quasiperiodic octagonal tiling. Tilings may be pure or random, with different degrees of phason disorder considered. The level statistics for the randomized tilings follow the predictions of random matrix theory, while for the perfect tilings a new type of level statistics is found. In this cas...
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The number of levels with energy less than E of an integrable quantum system with two degrees of freedom is equal to XE+sE', where A, is a constant and s a Auctuating quantity with a non-Gaussian distribution. The probability distribution of s decreases roughly like exp( —s ) when s is large. The number of levels between E and E+zJE is equal to kz JE+rE 'I where r is another lluctuating quantit...
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We comment on the recent paper by Abul-Magd (J.Phys.A: Math.Gen. 29 (1996) 1) concerning the energy level statistics in the mixed regime, i.e. such having the mixed classical dynamics where regular and chaotic regions coexist in the phase space. We point out that his basic assumption on the additive property of the level-repulsion function r(S) (conditional probability density) in the sense of ...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 1988
ISSN: 0556-2791
DOI: 10.1103/physreva.38.395