Relativistic few-body physics
arXiv:1312.3592 · doi:10.1007/s00601-013-0761-7
Abstract
I discuss different formulations of the relativistic few-body problem with an emphasis on how they are related. I first discuss the implications of some of the differences with non-relativistic quantum mechanics. Then I point out that the principle of special relativity in quantum mechanics implies that the quantum theory has a Poincaré symmetry, which is realized by a unitary representation of the Poincaré group. This representation can always be decomposed into direct integrals of irreducible representations and the different formulations differ only in how these irreducible representations are realized. I discuss how these representations appear in different formulations of relativistic quantum mechanics and discuss some applications in each of these frameworks.
10 pages, proceedings of the 22nd European few-body conference
References in corpus (6)
- Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV
- Relativistic Effects in Exclusive pd Breakup Scattering at Intermediate Energies
- Applications of Two-Body Dirac Equations to the Meson Spectrum with Three versus Two Covariant Interactions, SU(3) Mixing, and Comparison to a Quasipotential Approach
- Neutron Transverse-Momentum Distributions and Polarized 3He within Light-Front Hamiltonian Dynamics
- Magnetic States at Short Distances
- Model tests of cluster separability in relativistic quantum mechanics