HAMILTONIAN MODEL OF LORENTZ INVARIANT PARTICLE INTERACTIONS
A model is constructed of interaction in a quantum mechanical system of two spinless particles. The interaction is shown to produce nontrivial scattering. Lorentz symmetry of the model is established by the construction of generators of a unitary representation of the inhomogeneous Lorentz group. The total momentum andd angular momentum operators are the same as for a system of two free particles. This ensures familiar transformation properties under space translations and space rotations. The hamiltoniand satisfies the asymptotic condition relative to the hamiltonian for a system of free particles. The use of the asymptotic condition is shown to be Lorentz invariant. The scattering amplitude is a manifestly invariant function of the particle momentum variables, and can be made to have a variety of analyticity properties by a suitable choice of the arbitrany form factors that occur in the model. (auth)
- Research Organization:
- Univ. of Rochester, N.Y.
- NSA Number:
- NSA-18-007539
- OSTI ID:
- 4113530
- Report Number(s):
- NYO-10275; 0031-899X
- Journal Information:
- Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 133; ISSN PHRVA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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