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Abstract: In this paper we present an extended version of Hilbert-Huang transform, namely arbitrary-order Hilbert spectral analysis, to characterize the scale-invariant properties of a time series dir...
An exact solution is found for the problem of the center-of-band (E = 0) anomaly in the one- dimensional (1D) Anderson model of localization. By deriving and solving an equation for the generating f...
We consider spin-polarized abelian quantum Hall states in the Tao-Thouless limit, ie on a thin torus. For any filling factor  = p/q a well-defined sector of low-energy states is dentified and the ex...
Random processes characterized by density probabilities with a long tail–L´evy-type processes– have been found in very different phenomena and fields such as biology, economy, and physics.
The one-dimensional (1d) Anderson model (AM), i.e. a tight-binding chain with uncorrelated Gaussian disorder in the on-site energies, has statistical anomalies at any rational point f = 2a E , where ...
Environmental effects on the $x^{4}$ model in Tsallis statistics      Non-extensive statistics  Squeezing  x4 model       font style='font-size:12px;'> 2010/11/17
The author studied the effects of the environment described by Tsallis statistics in quantum mechanics, when the deviation from Boltzmann-Gibbs (BG) statistics is small. The x4 model was used and the...
Beyond quantum microcanonical statistics      quantum microcanonical statistics        font style='font-size:12px;'> 2010/11/19
The Schrödinger equation for the evolution of isolated quantum systems determines the constants of motion for the dynamical problem, which can be identified with the populations along the princ...
2001Vol.36No.3pp.271-280DOI: Statistics of Eigenfunctions in 1D Tight Binding Model: Distribution of Riccati Variable WANG Wen-Ge Department of Physics, Southeast Univer...
2002Vol.37No.5pp.583-588DOI: Energy Level Statistics in Particle-Rotor Model ZHOU Xian-Rong,1 GUO Lu,1 MENG Jie,2,3 and ZHAO En-Guang1,3,4 1 Institute of Theoretical Phy...
2005Vol.44No.5pp.897-900DOI: Energy Level Statistics of SO(5) Limit of Super-symmetry U(6/4) inInteracting Boson-Fermion Model BAI Hong-Bo,1 ZHANG Jin-Fu,1 and ZHOU Xian-Rong2 ...

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