Interaction of a composite system with the quantized radiation field in an approximately relativistic theory
- 1 June 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 23 (6), 2810-2825
- https://doi.org/10.1103/physreva.23.2810
Abstract
We show that in order to satisfy the condition of relativistic invariance for the one-photon radiative transition amplitudes of a composite system to relative order in an approximately relativistic canonical theory, the position operator in the theory should satisfy a condition which encompasses the world-line condition of Currie, Jordan, and Sudarshan. We also obtain the expression for the and the single-photon transition amplitudes of the composite system in the center of momentum frame, including the relativistic corrections of leading order. These expressions show that the relativistic corrections are qualitatively different for the electrically charged and neutral composite systems. They also depend, especially in the case of the amplitudes, rather sensitively on the binding interaction among the constituent particles. There are also relativistic corrections which depend simultaneously on the recoil momentum of the composite system and on the use of the relativistic center-of-mass variables in the problem and which so far have not been considered in the literature.
Keywords
This publication has 24 references indexed in Scilit:
- Relativistic center-of-mass variables for composite systems with arbitrary internal interactionsPhysical Review D, 1974
- Relativistic Center-of-Mass Motion and the Electromagnetic Interaction of Systems of Charged ParticlesPhysical Review D, 1970
- Electromagnetic interactions of weakly-bound composite systemsNuclear Physics B, 1970
- Relativistic Corrections to Nonrelativistic Two-Particle Dynamical Calculations: Demonstration of the Validity of the Drell-Hearn-Gerasimov Sum Rule for Weakly Bound Composite ParticlesPhysical Review B, 1968
- Relativistic Center-of-Mass Variables for Two-Particle Systems with SpinPhysical Review B, 1968
- Relativistic Invariance and Hamiltonian Theories of Interacting ParticlesReviews of Modern Physics, 1963
- Relativistic Particle Systems with InteractionPhysical Review B, 1961
- Relativistic Particle Dynamics. IIPhysical Review B, 1953
- The Relativistic Dynamics of a System of Particles Interacting at a DistancePhysical Review B, 1952
- Forms of Relativistic DynamicsReviews of Modern Physics, 1949