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We describe fermions in terms of a classical statistical ensemble. The states $\tau$ of this ensemble are characterized by a sequence of values one or zero or a corresponding set of two-level observables. Every classical probability…

High Energy Physics - Theory · Physics 2014-11-21 C. Wetterich

A semi-classical non-Hamiltonian model of a spontaneous collapse of unstable quantum system is given. The time evolution of the system becomes non-Hamiltonian at random instants of transition of pure states to reduced ones, given by a…

Mathematical Physics · Physics 2009-11-11 V. P. Belavkin , P. Staszewski

We discuss a method by which quantum fluctuations can be included in microscopic transport models based on wave packets that are not energy eigenstates. By including the next-to-leading order term in the cumulant expansion of the…

Nuclear Theory · Physics 2009-10-30 A. Ohnishi , J. Randrup

Based on Tsallis entropy and the corresponding deformed exponential function, generalized distribution functions for bosons and fermions have been used since a while. However, aiming at a non-extensive quantum statistics further…

Statistical Mechanics · Physics 2015-03-11 T. S. Biro , K. M. Shen , B. W. Zhang

Combining intuitive probabilistic assumptions with the basic laws of classical thermodynamics, using the latter to express probabilistic parameters in terms of the thermodynamic quantities, we get a simple unified derivation of the…

Probability · Mathematics 2022-05-03 Vassili N. Kolokoltsov

We study the long range behavior of a gas whose partition function depends on a parameter q and it has been claimed to be a good approximation to the partition function proposed in the formulation of nonextensive statistical mechanics. We…

Condensed Matter · Physics 2009-10-31 Marcelo R. Ubriaco

The "marginal" distributions for measurable coordinate and spin projection is introduced. Then, the analog of the Pauli equation for spin-1/2 particle is obtained for such probability distributions instead of the usual wave functions. That…

Quantum Physics · Physics 2009-11-06 S. Mancini , O. V. Man'ko , V. I. Man'ko , P. Tombesi

We investigate the particle-number dependence of some features of the out-of-equilibrium dynamics of d-dimensional Fermi gases in the dilute regime. We consider protocols entailing the variation of the external potential which confines the…

Quantum Gases · Physics 2019-04-10 Ettore Vicari

A simple statistical model in terms of light-front kinematic variables is used to explain the nuclear EMC effect in the range $x \in [0.2,~0.7]$, which was constructed by us previously to calculate the parton distribution functions (PDFs)…

Nuclear Theory · Physics 2010-11-02 Yunhua Zhang , Lijing Shao , Bo-Qiang Ma

In this study, The particles of the quantum gases, namely bosons and fermions are regarded as g-ons by the paremeter of the fractional exclusion statistics g. With this point of departure, the distribution function of the g-on gas is…

Statistical Mechanics · Physics 2007-05-23 F. Buyukkilic , H. Uncu , D. Demirhan

I consider general interacting systems of quantum particles in one spatial dimension. These consist of bosons or fermions, which can have any number of components, arbitrary spin or a combination thereof, featuring low-energy two- and…

Quantum Gases · Physics 2020-11-09 Manuel Valiente

Identical systems, or entities, are indistinguishable in quantum mechanics (QM), and the symmetrization postulate rules the possible statistical distributions of a large number of identical quantum entities. However, a thorough analysis on…

Neurons and Cognition · Quantitative Biology 2024-09-16 Diederik Aerts , Jonito Aerts Arguēlles , Lester Beltran , Massimiliano Sassoli de Bianchi , Sandro Sozzo

Nuclear parton distributions are studied in a parton model with rescaling and recombination mechanisms. Parton x distributions are first calculated at Q^2=1 GeV^2 by the model, and they are evolved to larger Q^2 in order to be compared with…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Kumano , K. Umekawa

Recently a sufficient and necessary condition for Pauli's spin- statistics connection in nonrelativistic quantum mechanics has been established [quant-ph/0208151]. The two-dimensional part of this result is extended to n-particle systems…

Quantum Physics · Physics 2007-05-23 Bernd Kuckert , Jens Mund

A model for nuclear medium modification of parton densities is presented. The approach is based on the global analysis of available deep inelastic scattering data for different nuclear targets within the rescaling model combined with taking…

High Energy Physics - Phenomenology · Physics 2025-10-13 A. V. Kotikov , A. V. Lipatov

Particle statistics is a fundamental part of quantum physics, and yet its role and use in the context of quantum information have been poorly explored so far. After briefly introducing particle statistics and the Symmetrization Postulate, I…

Quantum Physics · Physics 2007-05-23 Y. Omar

For almost two decades, it has been believed that the quantum statistical properties of bosons are preserved in plasmonic systems. This idea has been stimulated by experimental work reporting the possibility of preserving nonclassical…

The inner-outer part factorisation of analytic representations in the unit disk is used for an effective characterisation of the number-phase statistical properties of a quantum harmonic oscillator. It is shown that the factorisation is…

Quantum Physics · Physics 2008-11-26 A. Vourdas , C. Brif , A. Mann

In this paper, we study the influence of quantum effects to chaotic dynamics, especially the influence of Pauli effect and dynamical symmetry breaking to chaotic motions. We apply the semiquantal theory to the Sp(6) fermion symmetry model…

chao-dyn · Physics 2008-02-03 Ming-Tsung Lee , Wei-Min Zhang , Cheng-Li Wu

We study a connection between the algebraic probability and classical stochastic processes described by master equations. Introducing a definition of a state which has not been used for quantum cases, the classical stochastic processes can…

Statistical Mechanics · Physics 2013-07-10 Jun Ohkubo
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