# Berry phase effects in the dynamics of Dirac electrons in doubly special relativity framework

@article{Gosselin2007BerryPE, title={Berry phase effects in the dynamics of Dirac electrons in doubly special relativity framework}, author={Pierre R{\'e}al Gosselin and Alain B{\'e}rard and Herv'e Mohrbach and Subir Kumar Ghosh}, journal={Physics Letters B}, year={2007}, volume={660}, pages={267-274} }

## 12 Citations

### Dirac Equation in the Magueijo-Smolin Approach of Double Special Relativity

- Physics
- 2011

We reconsider in details the Dirac equation in the context of the Magueijo–Smolin approach to the Doubly Special Relativity. Starting from the deformed dispersion relation we focus on obtaining a…

### Dirac’s Equation in R-Minkowski Spacetime

- Mathematics, Physics
- 2016

We recently constructed the R-Poincaré algebra from an appropriate deformed Poisson brackets which reproduce the Fock coordinate transformation. We showed then that the spacetime of this…

### Application of the Doubly Special Relativity to the Dirac equation formalism

- Physics
- 2012

In this letter we generalize the Dirac equation in the context of the Magueijo-Smolin (MS) [1] approach to the Doubly Special Relativity. This recent theory introduced by Amelino-Camelia [2] is based…

### Quantization of κ-deformed Dirac equation

- Physics
- 2020

In this paper, we study the quantization of Dirac field theory in the κ-deformed space–time. We adopt a quantization method that uses only equations of motion for quantizing the field. Starting fro...

### Twisted fermionic oscillator algebra in κ-minkowski space-time

- Mathematics
- 2015

In this paper, we investigate the twisted algebra of the fermionic oscillators associated with Dirac field defined in κ-Minkowski space-time. Starting from κ-deformed Dirac theory, which is invariant…

### Topics in Noncommutative Geometry Inspired Physics

- Physics, Mathematics
- 2009

In this review article we discuss some of the applications of noncommutative geometry in physics that are of recent interest, such as noncommutative many-body systems, noncommutative extension of…

### κ-DEFORMED DIRAC EQUATION

- Mathematics
- 2011

We construct a Dirac equation in κ-Minkowski spacetime and analyze its implications. This κ-deformed Dirac equation is expanded as a power series involving derivatives with respect to commutative…

### Doubly-Special Relativity: Facts, Myths and Some Key Open Issues

- PhysicsSymmetry
- 2010

I report, emphasizing some key open issues and some aspects that are particularly relevant for phenomenology, on the status of the development of “doubly-special” relativistic (“DSR”) theories with…

### Dynamics of quintessence in generalized uncertainty principle

- Physics, MathematicsThe European Physical Journal C
- 2020

We investigate the quintessence scalar field model modified by the generalized uncertainty principle in the background of a spatially flat homogeneous and isotropic universe. By performing a…

### Effect of noncommutativity of space-time on Zitterbewegung

- Mathematics
- 2016

Abstract.In this paper, we present the results of our investigation on the modification of Zitterbewegung due to the noncommutativity of the space-time. First, we study the effect of…

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