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Particle states as realizations (linear or nonlinear) of spacetime symmetries. (English) Zbl 0959.81501


MSC:

81P05 General and philosophical questions in quantum theory
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
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References:

[1] Wigner, E., (Group Theory and its Application to the Quantum Mechanics of Atomic Spectra (1959), Academic Press: Academic Press New York), Appendix to Chapter 20 · JFM 57.1578.03
[2] Wigner, E., Ann. Math., 40, 149 (1939)
[3] Weinberg, S., Phys. Rev., 181, 1893 (1969), Sec. II
[4] Aspect, A.; Grangier, P.; Roger, G., Phys. Rev. Lett., 49, 91 (1982), and earlier work quoted therein
[6] Drever, R. W.P., Phil. mag., 6, 683 (1961)
[7] Berry, M. V., (Jorna, S., Topics in Nonlinear Dynamics: A Tribute to Sir Edward Bullard (1978), American Institute of Physics: American Institute of Physics New York), Sec. 2
[8] Kolmogorov, A. N.; Arnold, V. I.; Moser, J.; Sternberg, S., (Mathe matical Methods of Classical Mechanics (1978), Springer-Verlag: Springer-Verlag New York), Appendix 8
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