Investigation of an Equation with Logarithmic Coupling with Momentum in Dirac Equation
Mash-Huda Rahman Shipra,
Syed Badiuzzaman Faruque
Issue:
Volume 7, Issue 2, December 2020
Pages:
32-36
Received:
7 July 2020
Accepted:
27 July 2020
Published:
10 August 2020
Abstract: The free particle solutions of the relativistic Dirac equation are characterized by plane waves with infinite uncertainty in position. However, many practical implementations of the solutions require a wave packet configuration, which can be utilized to represent a localized Dirac particle. Unlike the traditional wave packet generation method by superposing multiple plane waves, this study of ours presents an alternative approach towards obtaining a wave packet solution of a free particle relativistic Dirac equation. In this paper, we present Dirac’s free particle equation with a modification in the generalized momentum. The modification is achieved by coupling the momentum with a spatially varying logarithmic function, and this alteration does not affect the relativistic dispersion relation of the particle. Moreover, a solution of this modified Dirac equation is provided as well, which has been calculated using a trial wave function. The wave function solution is carried out in one dimension, where it behaves as a wave packet for a given ratio of the envelope parameter to the reduced Planck's constant greater than unity, where the envelope parameter regulates the width of the wave packet. The solution, being subject to this constraint, represents a bound particle with spin and a continuous energy spectrum.
Abstract: The free particle solutions of the relativistic Dirac equation are characterized by plane waves with infinite uncertainty in position. However, many practical implementations of the solutions require a wave packet configuration, which can be utilized to represent a localized Dirac particle. Unlike the traditional wave packet generation method by su...
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Erratic Multiplicity Fluctuation in Heavy-Ion Collisions at High Energy
Mohammed Mohisin Khan,
Danish Meer,
Tahir Hussain,
Arshad Kamal,
Waseem Bari
Issue:
Volume 7, Issue 2, December 2020
Pages:
37-40
Received:
14 July 2020
Accepted:
6 August 2020
Published:
24 September 2020
Abstract: The results reported in this manuscript are an attempt to look for the occurrence of erratic multiplicity fluctuations in pseudorapidity space of the secondary particles produced in 16O-nucleus interactions at an incident momentum of 3.7A GeV/c and to compare our results with the finding of other researches on dynamical fluctuations at various projectile energies. The analysis heavily relies on the method of normalized factorial moments and the binning of the phase space. In this analysis we have obtained results on the normalized factorial moments and other physical parameters derived from them. Results obtained for the experimental data are compared with the results for FRITIOF simulated events. The results on F2-distribution, Cpq-moments and on Σq obtained in the present study hints towards the existence of chaoticity in the multiparticle production in high energy nucleus-nucleus collisions. Occurrence of such non-statistical fluctuations further suggests the presence of correlated particle production in relativistic nuclear collisions.
Abstract: The results reported in this manuscript are an attempt to look for the occurrence of erratic multiplicity fluctuations in pseudorapidity space of the secondary particles produced in 16O-nucleus interactions at an incident momentum of 3.7A GeV/c and to compare our results with the finding of other researches on dynamical fluctuations at various pro...
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