Helicity rotation induced by Lorentz boosts

Autor(es)

Blasone, Massimo ; Bittencourt, Victor A. S. V. ; Bernardini, Alex E.

• Tipo de documento: Artigo Científico
• Fonte: INTERNATIONAL JOURNAL OF QUANTUM INFORMATION; v. 17, n. 8, p. 12-pg., 2019-12-01.

Resumo

In this paper, we calculate the helicity rotation angle induced by Lorentz boosts. This is relevant for the study of Lorentz boost effects on quantum entanglement encoded in pairs of massive fermions, which are described in terms of positive energy solutions of the Dirac equation with definite helicity. A Lorentz boost describing the change to an inertial frame moving at uniform speed will in general rotate the particle's helicity. We obtain the coefficients of the helicity superposition in the boosted frame and specialize our results for a perpendicular boost geometry. We verify that the helicity rotation angle can be obtained in terms of the Wigner rotation angle for spin 1/2 states, bridging the framework considered in our previous works to the one of the Wigner rotations. Finally, we calculate the boost-induced spin-parity entanglement for a single particle. (AU)

• Processo FAPESP: 18/03960-9 - Estruturas fundamentais da Mecânica Quântica no espaço de fases -- Não-classicalidade e correspondência clássico-quântica em sistemas quânticos ordinários e sistemas tipo-Dirac
• Beneficiário: Alex Eduardo de Bernardini
• Modalidade de apoio: Auxílio à Pesquisa - Regular