Twisted fermionic oscillator algebra in κ-minkowski space-time

Verma, Ravikant

doi:10.1140/epjp/i2015-15079-3

Cited by 5 publications

(4 citation statements)

References 43 publications

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“…( 62)) still satisfies the Heisenberg algebra same as in the commutative case given in Eqn. (25). The position of the relativistic particle in the κ-deformed spacetime also satisfies the same algebra but the modified frequency of the trembling motion is different than the frequency obtained in MS basis, upto first order in the deformation parameter.…”

Section: Effect On Zitterbewegung In Magueijo-smolin Basismentioning

confidence: 81%

“…Different aspects of κ-deformed space-time and their implications on various models were studied in recent times [14,15,16]. Construction and study of field theory models on κ-deformed space-time attracted wide attention in last couple of years [22,23,24,25,26]. As in Moyal space-time, the statistics of particles on κ-deformed space-time is related to the symmetry of the space-time.…”

Section: Introductionmentioning

confidence: 99%

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Effect of noncommutativity of space-time on Zitterbewegung

Verma

Bose

2017

Eur. Phys. J. Plus

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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 κ-deformation of the spacetime on Zitterbewegung. For this, we start with the κ-deformed Dirac theory and using κ-deformed Dirac equation valid upto first order in deformation parameter a, we find the modification in the Zitterbewegung valid upto first order in the deformation parameter a. In the limit a → 0, we get back the commutative result. Secondly, we find the modification in the Zitterbewegung due to the Magueijo-Smolin(MS) approach of doubly special relativity(DSR) and in the limit E p → ∞, we get back the result in the commutative space-time.

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Section: Effect On Zitterbewegung In Magueijo-smolin Basismentioning

confidence: 81%

Section: Introductionmentioning

confidence: 99%

Effect of noncommutativity of space-time on Zitterbewegung

Verma

Bose

2017

Eur. Phys. J. Plus

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“…Different theories on κ-deformed space-time have been constructed and studied in the last couple of years [13][14][15][16][17][18][19][20][21][22][23][24][25]. Since dispersion relation is modified due to the κ-deformation of the underlying space-time [13], it is interesting to see how the thermodynamics of a photon gas affected by such a modification.…”

Section: Introductionmentioning

confidence: 99%

Effect of non-commutativity of space-time on thermodynamics of photon gas

Verma¹,

Nandi²

2019

Gen Relativ Gravit

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Doubly special relativity(DSR) introduce a minimal length scale i.e. the Planck length scale, which is independent length scale in addition to the speed of light in the normal special theory of relativity(STR). Doubly special relativity leads to study the κ-Minkowski space-time. In this paper, we present the result of our investigation on the thermodynamics of photon gas in the κ-Minkowski space-time. For studying this, we start with the κ-deformed dispersion relation and keep terms upto first order in the deformation parameter a and we study that how does κ-deformed dispersion relation affect the thermodynamics of photon gas. In the limit, deformation parameter a → 0, we get back the all results in the special theory of relativity(STR) [1].

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“…The first example of the space-time non-commutativity was introduced by Snyder in 1947 [4] and it was based on the deformation of the Heisenberg algebra of quantum mechanics. It is believed that noncommutativity of space-time describes the structure of the space-time at the Planck scale and attracted wide attention [5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21]. A connection between dissipation and noncommutativity was investigated in [22].…”

Section: Introductionmentioning

confidence: 99%

Particle dynamics and Lie-algebraic type of non-commutativity of space–time

2018

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In this paper, we present the results of our investigation relating particle dynamics and non-commutativity of space-time by using Dirac's constraint analysis. In this study, we re-parameterise the time t = t(τ ) along with x = x(τ ) and treat both as configuration space variables. Here, τ is a monotonic increasing parameter and the system evolves with this parameter. After constraint analysis, we find the deformed Dirac brackets similar to the κ-deformed space-time and also, get the deformed Hamilton's equations of motion. Moreover, we study the effect of non-commutativity on the generators of Galilean group and Poincare group and find undeformed form of the algebra. Also, we work on the extended space analysis in the Lagrangian formalism. We find the primary as well as the secondary constraints. Strikingly on calculating the Dirac brackets among the phase space variables, we obtain the classical version of κ-Minkowski algebra.

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Twisted fermionic oscillator algebra in κ-minkowski space-time

Cited by 5 publications

References 43 publications

Effect of noncommutativity of space-time on Zitterbewegung

Effect of noncommutativity of space-time on Zitterbewegung

Effect of non-commutativity of space-time on thermodynamics of photon gas

Particle dynamics and Lie-algebraic type of non-commutativity of space–time

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