In this article, we study the possibility of changing a physical degree of freedom of a particle to its quantum spin after quantization is applied. Our approach to do such a survey is increasing the fundamental symmetries of the anyonic particle model with the help of the symplectic formalism of constrained systems. After extracting the corresponding Poisson structure of all constraints, we compare the effect of gauging on the phase spaces, the number of physical degrees of freedom, canonical structures of both primary and gauged models, and the spin of the anyon, in terms of its energy
A method to simulate the dynamics of anyons through the Jaynes-Cummings model is presented. The simu...
For a Minkowski spacetime of dimension three, particles of arbitrary, real spin and intermediate (th...
We discuss the connection between anyons (particles with fractional statistics) and deformed Lie alg...
A twistor model is proposed for the free relativistic anyon. The Hamiltonian reduction of this model...
We present new geometric formulations for the fractional spin particle models on the minimal phase s...
This thesis consists of two distinct parts. The first part, based on the first two accompanied paper...
The coupling of nonrelativistic anyons (called exotic particles) to an electromagnetic field is cons...
This dissertation reports our investigation into the existence of anyons, which interpolate between ...
8 pagesThe coupling of non-relativistic anyons (called exotic particles) to an electromagnetic field...
In the context of quantum spin liquids, it is long known that the condensation of fractionalized exc...
Intermediate statistics interpolating from Bose statistics to Fermi statistics are allowed in two di...
The thesis is organized as follows. In Chapter one we recall how the notions of fractional spin and...
Matrix product states (MPS) have proven to be a very successful tool to study lattice systems with l...
Construction of one-particle states as unitary representations of the Poincare algebra in 2 + 1 dime...
The coupling of non-relativistic anyons (called exotic particles) to an electromagnetic field is con...
A method to simulate the dynamics of anyons through the Jaynes-Cummings model is presented. The simu...
For a Minkowski spacetime of dimension three, particles of arbitrary, real spin and intermediate (th...
We discuss the connection between anyons (particles with fractional statistics) and deformed Lie alg...
A twistor model is proposed for the free relativistic anyon. The Hamiltonian reduction of this model...
We present new geometric formulations for the fractional spin particle models on the minimal phase s...
This thesis consists of two distinct parts. The first part, based on the first two accompanied paper...
The coupling of nonrelativistic anyons (called exotic particles) to an electromagnetic field is cons...
This dissertation reports our investigation into the existence of anyons, which interpolate between ...
8 pagesThe coupling of non-relativistic anyons (called exotic particles) to an electromagnetic field...
In the context of quantum spin liquids, it is long known that the condensation of fractionalized exc...
Intermediate statistics interpolating from Bose statistics to Fermi statistics are allowed in two di...
The thesis is organized as follows. In Chapter one we recall how the notions of fractional spin and...
Matrix product states (MPS) have proven to be a very successful tool to study lattice systems with l...
Construction of one-particle states as unitary representations of the Poincare algebra in 2 + 1 dime...
The coupling of non-relativistic anyons (called exotic particles) to an electromagnetic field is con...
A method to simulate the dynamics of anyons through the Jaynes-Cummings model is presented. The simu...
For a Minkowski spacetime of dimension three, particles of arbitrary, real spin and intermediate (th...
We discuss the connection between anyons (particles with fractional statistics) and deformed Lie alg...