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Teoreticheskaya i Matematicheskaya Fizika, 1969, Volume 1, Number 1, Pages 101–119
(Mi tmf4555)
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This article is cited in 3 scientific papers (total in 3 papers)
Representations of the Poincaré group in $E(2)$ bases
Yu. V. Novozhilov, E. V. Prokhvatilov
Abstract:
Constructions are given of irreducible unitary representations of the quantum-mechanical
Poincaré group in two bases associated with the $E(2)$ subgroup for the ease when the square
of the mass and the energy are positive, i.e., $M^2>0$ and $P_0>0$. Expressions are found
for the generators and the transformation functions from a canonical basis to the $E(2)$
bases are caleuiated. The reduction of a direct product of irreducible representations in
an $E(2)$ basis is considered at the end of the paper.
Received: 03.06.1969
Citation:
Yu. V. Novozhilov, E. V. Prokhvatilov, “Representations of the Poincaré group in $E(2)$ bases”, TMF, 1:1 (1969), 101–119; Theoret. and Math. Phys., 1:1 (1969), 78–93
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https://www.mathnet.ru/eng/tmf4555 https://www.mathnet.ru/eng/tmf/v1/i1/p101
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Abstract page: | 490 | Full-text PDF : | 222 | References: | 39 | First page: | 1 |
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