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Related papers: Quantum Statistics of Identical Particles

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A new kind of quantum statistics which interpolates between Bose and Fermi statistics is proposed beginning with the assumption that the quantum state of a many-particle system is a functional on the internal space of the particles. The…

Quantum Physics · Physics 2007-05-23 Zhi-Tao Yan

In this article, we discuss the identity and indistinguishability of quantum systems and the consequent need to introduce an extra postulate in Quantum Mechanics to correctly describe situations involving indistinguishable particles. This…

Quantum Physics · Physics 2009-11-11 Y. Omar

Orthofermi statistics is characterized by an exclusion principle which is more ``exclusive'' than Pauli's exclusion principle: an orbital state shall not contain more than one particle, no matter what the spin direction is. The wavefunction…

High Energy Physics - Theory · Physics 2007-05-23 A. K. Mishra , G. Rajasekaran

A new class of identical particles which may exhibit both Bose and Fermi statistics with respective probabilities $p_b$ and $p_f$ is introduced. Such an uncertainity may be either an intrinsic property of a particle or can be viewed as an…

Statistical Mechanics · Physics 2011-08-17 M. V. Medvedev

Quantum gravity may modify the fundamental symmetries that govern identical particles. In particular, noncommutative spacetime frameworks predict deformations of Bose and Fermi statistics. Here we develop a relativistic quantum field theory…

High Energy Physics - Theory · Physics 2026-03-27 Nicola Bortolotti , Catalina Curceanu , Antonino Marciano , Kristian Piscicchia

Quantum mechanics broadly classifies the particles into two categories: $(1)$ fermions and $(2)$ bosons. Fermions are half-integer spin particles, obeying Pauli's exclusion principle and Fermi-Dirac statistics. Whereas bosons are integer…

Statistical Mechanics · Physics 2025-09-03 Nupoor Thakur , Navinder Singh

Quantum mechanics can emerge from classical statistics. A typical quantum system describes an isolated subsystem of a classical statistical ensemble with infinitely many classical states. The state of this subsystem can be characterized by…

Quantum Physics · Physics 2015-05-13 C. Wetterich

A remarkable feature of quantum theory is that particles with identical intrinsic properties must be treated as indistinguishable if the theory is to give valid predictions. In the quantum formalism, indistinguishability is expressed via…

Quantum Physics · Physics 2025-12-23 Philip Goyal

Indistinguishability of particles is normally considered to be an inherently quantum property which cannot be possessed by a classical theory. However, Saunders has argued that this is incorrect, and that classically indistinguishable…

Statistical Mechanics · Physics 2007-05-23 Daniel Gottesman

We propose a phenomenological approach to quantum liquids of particles obeying generalized statistics of a fermionic type, in the spirit of the Landau Fermi liquid theory. The approach is developed for fractional exclusion statistics. We…

Condensed Matter · Physics 2009-10-31 Serguei B. Isakov

Identical quantum particles exhibit only two types of statistics: bosonic and fermionic. Theoretically, this restriction is commonly established through the symmetrization postulate or (anti)commutation constraints imposed on the algebra of…

Quantum Physics · Physics 2024-09-17 Nicolás Medina Sánchez , Borivoje Dakić

Quantum entanglement of identical particles is essential in quantum information theory. Yet, its correct determination remains an open issue hindering the general understanding and exploitation of many-particle systems. Operator-based…

Quantum Physics · Physics 2016-03-08 Rosario Lo Franco , Giuseppe Compagno

Quantum statistics have a profound impact on the properties of systems composed of identical particles. In this Letter, we demonstrate that the quantum statistics of a pair of identical massive particles can be probed by a direct…

Quantum Physics · Physics 2017-10-23 C. F. Roos , A. Alberti , D. Meschede , P. Hauke , H. Häffner

It is shown that quantum systems of identical particles can be treated as if they were different when they are in well differentiated states. This simplifying assumption allows the consideration of quantum systems isolated from the rest of…

Quantum Physics · Physics 2009-03-12 Alberto C. de la Torre , Hector O. Martin

The connection between the intrinsic angular momentum (spin) of particles and the quantum statistics is established by considering the response of identical particles to a common background radiation field. For this purpose, the Hamiltonian…

Quantum Physics · Physics 2025-04-07 Ana María Cetto , Luis de la Peña

Traditional statistical mechanics is constrained by the binary paradigms of identical/distinguishable and bosonic/fermionic particle statistics, leading to a fundamental logical gap in describing systems with partial distinguishability. We…

Statistical Mechanics · Physics 2026-01-21 Wang Hao , Meng Yancen , Zhang Kuang , Zhou Rui'en

Identical particles exhibit correlations even in the absence of inter-particle interaction, due to the exchange (anti)symmetry of the many-particle wavefunction. Two fermions obey the Pauli principle and anti-bunch, whereas two bosons favor…

Quantum Physics · Physics 2012-09-13 Malte C. Tichy , Markus Tiersch , Florian Mintert , Andreas Buchleitner

A full treatment for the scattering of an arbitrary number of bosons through a Bell multiport beam splitter is presented that includes all possible output arrangements. Due to exchange symmetry, the event statistics differs dramatically…

Quantum Physics · Physics 2012-04-18 Malte C. Tichy , Markus Tiersch , Fernando de Melo , Florian Mintert , Andreas Buchleitner

The quantum statistics of particles is determined by both the spins and the indistinguishability of quantum states. Here we studied the quantum statistics of partially distinguishable photons by defining the multi-photon…

Quantum Physics · Physics 2017-08-16 Fang-Wen Sun , Ao Shen , Yang Dong , Xiang-Dong Chen , Guang-Can Guo

We derive an equation for the current of particles in energy space; particles are subject to a mean field effective potential that may represent quantum effects. From the assumption that non-interacting particles imply a free diffusion…

Statistical Mechanics · Physics 2017-01-04 Miguel Hoyuelos , Pablo Sisterna
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