On Generalized Statistics and Interactions
Wladyslaw Marcinek (University of Wroclaw)
TL;DR
This paper generalizes exchange braid statistics, explores cross statistics arising from interactions, and develops an algebraic model with Fock space representation for particles with these generalized statistics.
Contribution
It introduces a generalized framework for exchange braid and cross statistics, providing algebraic models and Fock space representations for such particles.
Findings
Generalization of exchange braid statistics
Development of an algebraic model for particles with cross statistics
Construction of Fock space representation for the generalized statistics
Abstract
The concept of exchange braid statistics is generalized. The cross statistics is studied as a result of interaction. An algebraic model of a system of particles equipped with such statistics is described. The corresponding Fock space representation is also given.
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Taxonomy
TopicsRandom Matrices and Applications · Molecular spectroscopy and chirality · Topological and Geometric Data Analysis