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Particles made of two fermions can in many cases be treated as elementary bosons, but the conditions for this treatment to be valid are nontrivial. The so-called "coboson formalism" is a powerful tool to tackle compositeness effects…

Quantum Gases · Physics 2022-01-06 E. Cuestas , C. Cormick

Some new representations of the supersymmetric transformations are derived, and the supermultiplets are introduced. Based on these representations, various formulations (equations, commutation relations, propagators, Jacobi identities,…

General Physics · Physics 2008-04-03 Yi-Fang Chang

The Pauli exclusion principle is a fundamental law underpinning the structure of matter. Due to their anti-symmetric wave function, no two fermions can occupy the same quantum state. Here, we report on the direct observation of the Pauli…

Despite the obvious difference between fermions and bosons in their physical properties and statistical distributions, but we have to ask the following question. What is the form of statistical distribution for a system of quantum particles…

General Physics · Physics 2012-03-30 Ahmad Abu Taleb

In multiparticle quantum interference, bosons show rather generally the tendency to bunch together, while fermions can not. This behavior, which is rooted in the different statistics of the particles, results in a higher coincidence rate…

Quantum Physics · Physics 2020-12-15 Stefano Longhi

There are two motivations to consider statistics that are neither Bose nor Fermi: (1) to extend the framework of quantum theory and of quantum field theory, and (2) to provide a quantitative measure of possible violations of statistics.…

Quantum Physics · Physics 2007-05-23 O. W. Greenberg

Quantum matter in three spatial dimensions is observed to consist exclusively of bosons and fermions. Whether this empirical fact follows from basic consistency requirements of quantum theory itself or must be imposed as an additional…

Quantum Physics · Physics 2025-12-29 Chi-Chun Zhou , Shuai A. Chen , Yu-Zhu Chen , Yao Shen , Fu-Lin Zhang , Wu-Sheng Dai

The theory of Fermion oscillators has two essential ingredients: zero-point energy and Pauli exclusion principle. We devlop the theory of the statistical mechanics of generalized q-deformed Fermion oscillator algebra with inclusion…

Quantum Physics · Physics 2007-05-23 P. Narayana Swamy

We show how, with the use of quantum interference, we can violate, in some sense, the rule that charges of equal sign always repel each other. By considering two electrons that propagate parallel to each other in a Mach-Zehnder…

Quantum Physics · Physics 2019-08-05 Marina F. B. Cenni , Raul Corrêa , Pablo L. Saldanha

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

The mathematical methods that have been used to analyze the statistical properties of boson fields, and in particular the coherence of photons in quantum optics, have their counterparts for Fermi fields. The coherent states, the…

Atomic Physics · Physics 2009-10-31 Kevin E. Cahill , Roy J. Glauber

We develop an effective field theory to describe the superfluid pairing in strongly interacting fermions with arbitrary short-range attractions, by extending Kaplan's idea of coupling fermions to a fictitious boson state in Nucl. Phys. B…

Quantum Gases · Physics 2020-01-15 Jianshen Hu , Fan Wu , Lianyi He , Xia-Ji Liu , Hui Hu

Progress in the reliable preparation, coherent propagation and efficient detection of many-body states has recently brought collective quantum phenomena of many identical particles into the spotlight. This tutorial introduces the physics of…

Quantum Physics · Physics 2014-05-09 Malte C. Tichy

The Pauli exclusion principle plays an important role in many-body fermion systems preventing them from collapsing by repulsion. For example, the Pauli principle causes a repulsive potential at short distances between two $\alpha$…

Nuclear Theory · Physics 2016-04-25 Shigeo Ohkubo

The analogy between the Skyrme and Higgs field leads to the conjecture that all fermions are skyrmions and thus always carry conserved quantum numbers, which are identified with baryon or lepton quantum numbers. This connection between spin…

High Energy Physics - Phenomenology · Physics 2015-06-12 Richard M. Weiner

In these notes I review the basic concepts of the effects of interactions on quantum particles. I focuss here mostly on the case of fermions, but several aspects of interacting bosons are mentioned as well. These notes have been voluntarily…

Strongly Correlated Electrons · Physics 2010-07-08 Thierry Giamarchi

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

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…

Quantum Physics · Physics 2021-12-08 Chiara Marletto , Vlatko Vedral

Quasi-set theory provides a mathematical background for dealing with collections of indistinguishable elementary particles. In this paper, we show how to obtain the quantum statistics into the scope of quasi-set theory and discuss the…

Quantum Physics · Physics 2009-10-31 Decio Krause , Adonai S. Sant'Anna , Analice G. Volkov

Computer simulations and theory are used to systematically investigate how the effective force between two big colloidal spheres in a sea of small spheres depends on the basic (big-small and small-small) interactions. The latter are modeled…

Soft Condensed Matter · Physics 2009-11-07 A. A. Louis , E. Allahyarov , H. Lowen , R. Roth