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Teoreticheskaya i Matematicheskaya Fizika, 1971, Volume 8, Number 2, Pages 192–205
(Mi tmf4397)
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This article is cited in 22 scientific papers (total in 22 papers)
On relativistic equations of motion without “redundant” components
W. I. Fushchych, A. L. Grishchenko, A. G. Nikitin
Abstract:
On the basis of a definite representation (2.1) for the generators of the proper Poincard group
all (to within unitary equivalence) operator functions $H$ for which Eq. (1.1) is invariant under
the complete Poincaré group (including space-time reflections) are described. For arbitrary
spin a unitary operator is found that relates the representation (2.1) to the Foldy–Shirokov
canonical representation. Explicit expressions are obtained for the operators of the coordinate,
velocity, and spin in the representation (2.1) for an arbitrary spin $s$.
Received: 26.11.1970
Citation:
W. I. Fushchych, A. L. Grishchenko, A. G. Nikitin, “On relativistic equations of motion without “redundant” components”, TMF, 8:2 (1971), 192–205; Theoret. and Math. Phys., 8:2 (1971), 766–775
Linking options:
https://www.mathnet.ru/eng/tmf4397 https://www.mathnet.ru/eng/tmf/v8/i2/p192
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Abstract page: | 304 | Full-text PDF : | 92 | References: | 33 | First page: | 1 |
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