Quantum state of a free spin-1/2 particle and the inextricable dependence of spin and momentum under Lorentz transformations

Abstract

We revise the Dirac equation for a free particle and investigate Lorentz transformations on spinors. We study how the spin quantization axis changes under Lorentz transformations, and evince the interplay between spin and momentum in this context.

arXiv comment14 pages, 3 figures, published as a Review in the IJQI

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Cited by in corpus (8)

• Spin operator in the Dirac theory
• A new view on spin reduced density matrix for relativistic particles
• Complete complementarity relations and its Lorentz invariance
• Relativistic massive particle with spin-1/2, a vector bundle point of view
• Complete complementarity relations in curved spacetimes
• Relativistic Einstein-Podolsky-Rosen correlations and localization
• Relativistic spin operator must be intrinsic
• Bundle Theoretic Descriptions of Massive Single-Particle State Spaces; With a view toward Relativistic Quantum Information Theory