Relativistic quantum mechanics and relativistic entanglement in the rest-frame instant form of dynamics
- Dipartimento di Fisica, Universita' di Firenze, Polo Scientifico, via Sansone 1, 50019 Sesto Fiorentino (Italy)
- The University of Tennessee Space Institute, Tullahoma, TN 37388 (United States)
- Sezione INFN di Firenze, Polo Scientifico, Via Sansone 1, 50019 Sesto Fiorentino (Italy)
A new formulation of relativistic quantum mechanics is proposed in the framework of the rest-frame instant form of dynamics, where the world-lines of the particles are parametrized in terms of the Fokker-Pryce center of inertia and of Wigner-covariant relative 3-coordinates inside the instantaneous Wigner 3-spaces, and where there is a decoupled (non-covariant and non-local) canonical relativistic center of mass. This approach: (a) allows us to make a consistent quantization in every inertial frame; (b) leads to a description of both bound and scattering states; (c) offers new insights on the relativistic localization problem; (d) leads to a non-relativistic limit with a Hamilton-Jacobi treatment of the Newton center of mass; (e) clarifies non-local aspects (spatial non-separability) of relativistic entanglement connected with Lorentz signature and not present in its non-relativistic treatment.
- OSTI ID:
- 21501350
- Journal Information:
- Journal of Mathematical Physics, Vol. 52, Issue 6; Other Information: DOI: 10.1063/1.3591131; (c) 2011 American Institute of Physics; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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