Journal ArticleDOI
Examples of parastatistics
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TLDR
The pairing model of nuclear physics for a single j shell is shown to define a para-Fermi statistics of order j + 1 2 ; the parafermion is a pair with total spin zero and is usually represented by the quasi-spin raising operator of Kerman as mentioned in this paper.About:
This article is published in Annals of Physics.The article was published on 1969-10-15. It has received 22 citations till now. The article focuses on the topics: Parastatistics & Ladder operator.read more
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Accidental Degeneracies and Supersymmetric Quantum Mechanics
TL;DR: The relevant spectrum-generating superalgebras for these supersymmetric quantum-mechanical systems are introduced and studied in this paper, where the appropriate dynamical supersymmetries are identified.
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Comment on generalized parasupersymmetric quantum mechanics
TL;DR: In this article, the authors constructed the arbitrary order parasupersymmetric quantum mechanics of one boson and one parafermion degrees of freedom, where the order of parasupercharge is arbitrary.
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On pararelativistic quantum oscillators
TL;DR: In this paper, different choices of matrices characterizing p = 2 parafermions are analyzed in connection with the description of relativistic spin-one particles through the Kemmer formulation.
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On colour superalgebras in parasupersymmetric quantum mechanics
J Beckers,N Debergh +1 more
TL;DR: In this article, the simplest Lie parasuperalgebra Psqm(2) is identified with a C(2,S)-colour superalgebra through simple connections between trilinear and bilinear structure relations using Green-Cusson ansatze developed in parastatistics.
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Simulating para-Fermi oscillators.
TL;DR: In this paper, it was shown that finite-dimensional representations of even-order para-Fermi oscillators are feasible of quantum simulation under weak coupling, which opens the door to their potential implementation in different contemporaneous quantum electrodynamics platforms.
References
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A Schematic Model of Baryons and Mesons
TL;DR: In this article, the authors assume that the strong interactions of baryons and mesons are correctly described in terms of the broken "eightfold way", and they are tempted to look for some fundamental explanation of the situation.
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An Introduction to Relativistic Quantum Field Theory
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Group Theory and its Applications to Physical Problems
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A Generalized Method of Field Quantization
TL;DR: In this article, it was shown that spin-half fields can be quantized in such a way that an arbitrary finite number of particles can exist in each eigenstate, and that the interchange of two particles of the same kind may or may not be physically significant, according to the type of interaction by means of which they are created or annihilated.