Hamiltonian model of Lorentz invariant particle interactions

Jordan, T. F. ; Macfarlane, A. J. ; Sudarshan, E. C. G. (1964) Hamiltonian model of Lorentz invariant particle interactions Physical Review, 133 (2B). B487-B496. ISSN 0031-899X

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Official URL: http://prola.aps.org/abstract/PR/v133/i2B/pB487_1

Related URL: http://dx.doi.org/10.1103/PhysRev.133.B487


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 and 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 Hamiltonian 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 arbitrary form factors which occur in the model.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:51083
Deposited On:27 Jul 2011 12:31
Last Modified:18 May 2016 05:09

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