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.

14 pages, 3 figures, published as a Review in the IJQI

References in corpus (7)

• Quantum Entanglement of Moving Bodies
• Experimental verification of the feasibility of a quantum channel between Space and Earth
• Lorentz-covariant reduced spin density matrix and EPR-Bohm correlations
• Relativistically invariant quantum information
• Comment on "Quantum entropy and special relativity" [by A. Peres, P. F. Scudo, and D. R. Terno, Phys. Rev. Lett. 88, 230402 (2002)]
• Einstein-Podolsky-Rosen correlations of Dirac particles - quantum field theory approach
• Bell-states diagonal entanglement witnesses for relativistic and non-relativistic multispinor systems in arbitrary dimensions

Cited by in corpus (4)

• Relativistic massive particle with spin-1/2, a vector bundle point of view
• Complete complementarity relations in curved spacetimes
• Relativistic spin operator must be intrinsic
• Bundle Theoretic Descriptions of Massive Single-Particle State Spaces; With a view toward Relativistic Quantum Information Theory