RELATIVISTIC QUANTUM THEORY AS A GROUP PROBLEM. III. THE INTERACTION FORMALISM
S>The interaction formalism of relativistic quantum theory is given a group-theoretical exposition. A postulate is formulated, imposing conditions on the representations of the basic group G, and allowing the determination of the S- matrix by the group representations. The determination of the S-matrix is not complete in general. Cases of complete undetermination and of partial determination occur for a continuous group G of world geometry. The case of complete determination is possible in a finite world geometry. Accordingly, in a continuous world geometry, additional hypotheses (like a dynamical principle, local commutativity, etc.) are necessary for a unique determination of the interactions of quantum particles, while a pure group-theoretical treatment of interactions, without any dynamical or local elements, might possibly be realized in a finite world geometry. (auth)
- Research Organization:
- Originating Research Org. not identified
- NSA Number:
- NSA-17-003970
- OSTI ID:
- 4773782
- Journal Information:
- Ann. Acad. Sci. Fennicae, Ser. A VI, Vol. Vol: No. 106; Other Information: Orig. Receipt Date: 31-DEC-63
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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RELATIVISTIC QUANTUM THEORY AS A GROUP PROBLEM. I. GENERAL FORMALISM