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An expansion for quantum statistical mechanics is derived that gives classical statistical mechanics as the leading term. Each quantum correction comes from successively larger permutation loops, which arise from the factorization of the…

统计力学 · 物理学 2016-05-12 Phil Attard

The concept of wavefunction reduction should be introduced to standard quantum mechanics in any physical processes where effective reduction of wavefunction occurs, as well as in the measurement processes. When the overlap is negligible,…

量子物理 · 物理学 2007-05-23 WonYoung Hwang , Jeong-Young Ji , Jongbae Hong

The possibility of obtaining exotic statistics, different from Bose-Einstein or Fermi-Dirac, is analyzed, in the context of quantum field theory, through the inclusion of a counting operator in the definition of the partition function. This…

统计力学 · 物理学 2019-08-30 M. Hoyuelos

The conceptual setting of quantum mechanics is subject to an ongoing debate from its beginnings until now. The consequences of the apparent differences between quantum statistics and classical statistics range from the philosophical…

量子物理 · 物理学 2015-05-13 C. Wetterich

We explore the notion of spatial extent and structure, already alluded to in earlier literature, within the formulation of quantum mechanics on the noncommutative plane. Introducing the notion of average position and its measurement, we…

数学物理 · 物理学 2014-11-20 C M Rohwer , K G Zloshchastiev , L Gouba , F G Scholtz

A classical particle system coupled with a thermostat driven by an external constant force reaches its steady state when the ensemble-averaged drift velocity does not vary with time. The statistical mechanics of such a system is derived…

统计力学 · 物理学 2020-12-02 Jie Yao , Yanting Wang

A nonrelativistic proof of the spin-statistics theorem is given in terms of the field operators satisfying commutation and anticommutation relations, which are introduced here in the coordinate space as a means to build the permutation…

量子物理 · 物理学 2025-12-16 Takafumi Kita

The contextuality and noncontextuality notions are considered in framework of probability representation of quantum states. Example of qutrit states and violation of the noncontextuality inequalities are presented by using the spin tomogram…

量子物理 · 物理学 2013-04-30 A. A. Strakhov , V. I. Man'ko

The spin-statistics connection is derived in a simple manner under the postulates that the original and the exchange wave functions are simply added, and that the azimuthal phase angle, which defines the orientation of the spin part of each…

量子物理 · 物理学 2014-02-04 Arthur Jabs

The similarity between classical wave mechanics and quantum mechanics (QM) played an important role in the development of QM (starting with works of De Broglie, Schr\"odinger, "late Einstein", Lamb, Lande, Mandel, Marshall, Santos, Boyer,…

量子物理 · 物理学 2011-07-22 Andrei Khrennikov

We explore the possibility that the connection between spin and statistics in quantum physics is of dynamical origin. We suggest that the gravitational field could provide a fully local mechanism for the phase that arises when fermionic and…

量子物理 · 物理学 2021-12-08 Chiara Marletto , Vlatko Vedral

An interpretation and re-formulation of modern physics which removes the presumption of the space-time continuum, and bases physical theory on a small number of rational and empirical principles. After briefly describing the philosophical…

综合物理 · 物理学 2014-05-13 Charles Francis

In this paper a new formulation of quantum dynamics of totally constrained systems is developed, in which physical quantities representing time are included as observables. In this formulation the hamiltonian constraints are imposed on a…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Hideo Kodama

New asymptotic approximations of the non-central $t$ distribution are given, a generalization of the Student's $t$ distribution. Using new integral representations, we give new asymptotic expansions for large values of the noncentrality…

概率论 · 数学 2023-10-17 Amparo Gil , Javier Segura , Nico M Temme

The traditional standard theory of quantum mechanics is unable to solve the spin-statistics problem, i.e. to justify the utterly important \qo{Pauli Exclusion Principle} but by the adoption of the complex standard relativistic quantum field…

量子物理 · 物理学 2016-04-22 Enrico Santamato , Francesco De Martini

We examine historic formulations of the spin-statistics theorem from a point of view that distinguishes between the observable consequences and the ``symmetrization postulate''. In particular, we make a critical analysis of concepts of…

量子物理 · 物理学 2007-05-23 Michael J. York

This work discusses simple examples how quantum systems are obtained as subsystems of classical statistical systems. For a single qubit with arbitrary Hamiltonian and for the quantum particle in a harmonic potential we provide explicitly…

量子物理 · 物理学 2024-08-14 C. Wetterich

A realistic physical axiomatic approach of the relativistic quantum field theory is presented. Following the action principle of Schwinger, a covariant and general formulation is obtained. The correspondence principle is not invoked and the…

量子物理 · 物理学 2009-11-10 G. D. Puccini , H. Vucetich

Particle number fluctuations, no matter how small, are present in experimental set-ups. One should rigorously take these fluctuations into account, especially, for entanglement detection. In this context, we generalize the spin squeezing…

量子物理 · 物理学 2016-09-21 Ibrahim Saideh , Simone Felicetti , Thomas Coudreau , Pérola Milman , Arne Keller

The typicality approach and the Hilbert space averaging method as its technical manifestation are important concepts of quantum statistical mechanics. Extensively used for expectation values we extend them in this paper to transition…

量子物理 · 物理学 2020-08-25 Nico Hahn , Thomas Guhr , Daniel Waltner