Scattering Study of Fermions Due to Double Dirac Delta Potential in Quaternionic Relativistic Quantum Mechanics
Hassan Hassanabadi, Hadi Sobhani, Won Sang Chung
TL;DR
This paper investigates how fermions scatter off a double Dirac delta potential within quaternionic relativistic quantum mechanics, deriving scattering states and calculating reflection and transmission coefficients.
Contribution
It introduces a quaternionic extension of the Dirac equation with a double delta potential and analyzes scattering phenomena in this novel framework.
Findings
Derived scattering states for quaternionic Dirac particles.
Calculated reflection and transmission coefficients for the potential.
Provided insights into quaternionic quantum scattering processes.
Abstract
Scattering discussion due to Double Dirac Equation in Quaternionic version of relativistic quantum mechanics has been studied in this paper in details. In such a quantum mechanics Dirac equation in presence vector and scalar potential has been considered. Then a Quaternionic double Dirac delta potential comes to our considered system which causes to scatter the particles. Scattering states of the particles have been derived as well as reflected and transmission coefficients are calculated.
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