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A two-temperature linear spin model is presented that allows an easily understandable introduction to non-equilibrium statistical physics. The model is one that includes the concepts that are typical of more realistic non-equilibrium models…

Statistical Mechanics · Physics 2009-11-13 I. Mazilu , H. T. Williams

We derive simple practical procedures revealing the quantum behavior of angular momentum variables by the violation of classical upper bounds on the statistics. Data analysis is minimum and definite conclusions are obtained without…

Quantum Physics · Physics 2011-12-06 Alfredo Luis , Ángel Rivas

Despite long-term research, the origin of spin cutoff in the angular-momentum (spin) distribution of nuclear level densities remains incompletely elucidated. We demonstrate that this problem can be traced back to Bethe's assumption that…

Nuclear Theory · Physics 2026-02-27 Junchao Guo , Yang Sun

We extend to quantum mechanical systems results previously obtained for classical mechanical systems, concerning time reversibility in presence of a magnetic field. As in the classical case, results like the Onsager reciprocal relations are…

Quantum Physics · Physics 2022-05-18 Davide Carbone , Paolo De Gregorio , Lamberto Rondoni

We investigate the kinetics of a nonrelativistic particle interacting with a constant external force on a Lie-algebraic noncommutative space. The structure constants of a Lie algebra, also called noncommutative parameters, are constrained…

Mathematical Physics · Physics 2011-07-08 Yan-Gang Miao , Xu-Dong Wang , Shao-Jie Yu

A unified conceptual foundation of classical and quantum physics is given, free of undefined terms. Ensembles are defined by extending the `probability via expectation' approach of Whittle to noncommuting quantities. This approach carries…

Quantum Physics · Physics 2007-05-23 Arnold Neumaier

The spin-statistics connection has been proved for nonrelativistic quantum mechanics (Jabs, A., 2010: Found. Phys., {\bf 40}, 776-792). The proof is extended here to the relativistic regime using the parametrized Dirac equation. A causality…

Quantum Physics · Physics 2020-02-19 A. F. Bennett

Correlations of spins in a system of entangled particles are inconsistent with Kolmogorov's probability theory (KPT), provided the system is assumed to be non-contextual. In the Alice-Bob EPR paradigm, non-contextuality means that the…

Quantum Physics · Physics 2015-06-15 Ehtibar N. Dzhafarov , Janne V. Kujala

The purpose of this article is to provide a novel approach and justification of the idea that classical physics and quantum physics can neither function nor even be conceived one without the other - in line with ideas attributed to e.g.…

History and Philosophy of Physics · Physics 2024-08-29 Philippe Grangier , Alexia Auffeves , Nayla Farouki , Mathias Van Den Bossche , Olivier Ezratty

Recently, a topological proof of the spin-statistics Theorem has been proposed for a system of point particles which does not require relativity or field theory, but assumes the existence of antiparticles. We extend this proof to a system…

High Energy Physics - Theory · Physics 2015-06-26 A. P. Balachandran , W. D. McGlinn , L. O'Raifeartaigh , S. Sen , R. D. Sorkin , A. M. Srivastava

Contextuality is a key feature of quantum mechanics, and identification of noncontextual subtheories of quantum mechanics is of both fundamental and practical importance. Recently, noncontextual Pauli Hamiltonians have been defined in the…

Quantum Physics · Physics 2025-08-14 Alexis Ralli , Tim Weaving , Peter J. Love

The purpose of this paper is to show that: when a single particle moving under 3-proper time (three-dimensional time), the trajectories of a classical particle are equivalent to a quantum field with spin. Three-proper time models are built…

Quantum Physics · Physics 2007-05-23 Xiaodong Chen

The energy-momentum and spin tensors for a given theory can be replaced by alternative expressions that obey the same conservation laws for the energy, linear momentum, as well as angular momentum but, however, differ by the local…

High Energy Physics - Theory · Physics 2023-06-16 Sourav Dey , Wojciech Florkowski , Amaresh Jaiswal , Radoslaw Ryblewski

The new interpretation of Quantum Mechanics is based on a complex probability theory. An interpretation postulate specifies events which can be observed and it follows that the complex probability of such event is, in fact, a real positive…

Quantum Physics · Physics 2007-05-23 Jiri Soucek

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

A type of mechanics will be presented that possesses some distinctive properties. On the one hand, its physical description & rules of operation are readily comprehensible & intuitively clear. On the other, it fully satisfies all observable…

Quantum Physics · Physics 2026-02-05 Eric Tesse

The present contribution is based on the assumption that the probabilistic character of quantum mechanics does not originate from uncertainties caused by the process of measurement or observation, but rather reflects the presence of…

General Physics · Physics 2009-12-18 L. Fritsche , M. Haugk

An analysis is made within the quantum formalism of the probabilistic features of the electron spin correlation, with the purpose of clarifying the concepts of contextuality and measurement dependence. The quantum formulas for the spin…

Quantum Physics · Physics 2022-07-07 Ana María Cetto

The positive vector optical tomogram fully describing the quantum state of spin 1/2 particle without any redundancy is introduced. Reciprocally the vector symplectic tomogram and vector quasidistributions $\vec W({\mathbf q},{\mathbf p})$,…

Quantum Physics · Physics 2014-12-30 Ya. A. Korennoy , V. I. Man'ko

The arrival time statistics of spin-1/2 particles governed by Pauli's equation, and defined by their Bohmian trajectories, show unexpected and very well articulated features. Comparison with other proposed statistics of arrival times that…

Quantum Physics · Physics 2023-03-10 Siddhant Das , Detlef Dürr