Fock representations of multicomponent (particularly non-Abelian anyon) commutation relations
DOI10.1142/S0129055X20300046zbMath1478.81020arXiv1904.11211WikidataQ126996835 ScholiaQ126996835MaRDI QIDQ5128726
Daniil P. Proskurin, Alexander Kalyuzhny, Alexei Daletskii, Eugene W. Lytvynov
Publication date: 25 October 2020
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.11211
deformed commutation relationsmulticomponent quantum systemdeformed Fock spacenon-abelian anyons (plektons)
Applications of operator algebras to the sciences (47L90) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Anyons (81V27)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Noncommutative Lévy processes for generalized (particularly anyon) statistics
- Gauge-invariant quasi-free states on the algebra of the anyon commutation relations
- Exactness of the Fock space representation of the \(q\)-commutation relations
- Factoriality of Bożejko-Speicher von Neumann algebras
- An example of a generalized Brownian motion
- Twisted second quantization
- Meixner class of non-commutative generalized stochastic processes with freely independent values. I: A characterization
- Parallel summation, Maxwell's principle and the infimum of projections
- Realizability of a model in infinite statistics
- Stochastic calculus with respect to free Brownian motion and analysis on Wigner space
- Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
- \(q\)-canonical commutation relations and stability of the Cuntz algebra
- \(q\)-Gaussian processes: Non-commutative and classical aspects
- Generalized statistics of macroscopic fields
- Riesz transforms on deformed Fock spaces
- Stochastic integration with respect to \(q\) Brownian motion
- Non-injectivity of the \(q\)-deformed von Neumann algebra
- Fock representations of quantum fields with generalized statistics
- Positive representations of general commutation relations allowing Wick ordering
- Wick product for commutation relations connected with Yang-Baxter operators and new constructions of factors
- Anyons and the quantum Hall effect -- a pedagogical review
- Factoriality of \(q\)-Gaussian von Neumann algebras
- Contractivity properties of Ornstein-Uhlenbeck semigroup for general commutation relations
- GENERALIZED QUON STATISTICS
- An application of free transport to mixed 𝑞-Gaussian algebras
- Introduction to Topological Quantum Computation
- An extended anyon Fock space and noncommutative Meixner-type orthogonal polynomials in infinite dimensions
- Lectures on the Combinatorics of Free Probability
- Particle statistics from induced representations of a local current group
- Deformation quantization for actions of 𝑅^{𝑑}
- Interpolation between Fermi and Bose statistics using generalized commutators
- Diffeomorphism Groups, Anyon Fields, andqCommutators
- On the Fock representation of the q-commutation relations
- On the Fock space for nonrelativistic anyon fields and braided tensor products
- Introduction to Topological Quantum Matter & Quantum Computation
- Fock representations of Q-deformed commutation relations
- The kernel of Fock representations of Wick algebras with braided operator of coefficients.
- Partition-dependent stochastic measures and \(q\)-deformed cumulants
This page was built for publication: Fock representations of multicomponent (particularly non-Abelian anyon) commutation relations