Matrix Approach to Helicity States of Dirac Free Particles
Ben Goren, Kamal Barley, Sergei K. Suslov
TL;DR
This paper derives Dirac equation solutions using matrix algebra, providing detailed analysis of spin and helicity states to aid understanding of mathematical methods in relativistic quantum mechanics.
Contribution
It introduces a matrix algebra approach to derive Dirac solutions and analyze helicity states, offering a new perspective in relativistic quantum mechanics.
Findings
Derived explicit free wave solutions of the Dirac equation.
Provided detailed analysis of spin and helicity states.
Enhanced understanding of mathematical methods in relativistic quantum mechanics.
Abstract
We derive the free wave solutions of the Dirac equation from the viewpoint of matrix algebra. The concept of spin and the corresponding helicity states are analyzed in detail. This consideration may help the readers to study mathematical methods of relativistic quantum mechanics.
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Taxonomy
TopicsQuantum and Classical Electrodynamics · Quantum Mechanics and Non-Hermitian Physics · Algebraic and Geometric Analysis