Related papers: Generalized boson and fermion operators with a maximal total occupation property

Generalized boson and fermion operators with a maximal total occupation property

URL: http://arxiv.org/abs/2409.14789v1
Date: Mon, 23 Sep 2024 08:05:34 GMT
Title: Generalized boson and fermion operators with a maximal total occupation property
Authors: N. I. Stoilova, J. Van der Jeugt,
Abstract summary: We propose a new generalization of the standard (anti-)commutation relations for creation and operators of bosons and fermions. Only the standard (anti-)commutator relation involving one creation and one operator is deformed by introducing fractional coefficients. From the actions of creation and annihilation operators in the Fock space, a group theoretical framework is determined.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We propose a new generalization of the standard (anti-)commutation relations for creation and annihilation operators of bosons and fermions. These relations preserve the usual symmetry properties of bosons and fermions. Only the standard (anti-)commutator relation involving one creation and one annihilation operator is deformed by introducing fractional coefficients, containing a positive integer parameter $p$. The Fock space is determined by the classical definition. The new relations are chosen in such a way that the total occupation number in the system has the maximum value $p$. From the actions of creation and annihilation operators in the Fock space, a group theoretical framework is determined, and from here the correspondence with known particle statistics is established.

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