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Borisov, N. V.

Structure of canonical variables in the theory of quantum systems with finitely and infinitely many degrees of freedom. (English) Zbl 0305.22020

Theor. Math. Phys. 19(1974), 325-331 (1975).
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MSC:

22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties
46L05 General theory of \(C^*\)-algebras
17B65 Infinite-dimensional Lie (super)algebras
22E70 Applications of Lie groups to the sciences; explicit representations
22E43 Structure and representation of the Lorentz group
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References:

[1] H. Araki and E. J. Woods, J. Math. Phys.,4, 637 (1963). · doi:10.1063/1.1704002
[2] N. M. Hugenholtz, Commun. Math. Phys.,6, 189 (1967). · Zbl 0165.58702 · doi:10.1007/BF01659975
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[5] R. T. Powers, Commun. Math. Phys.,21, 85 (1971). · Zbl 0214.14102 · doi:10.1007/BF01646746
[6] N. Jacobson, Lie Algebras, Interscience, New York (1962).
[7] A. E. Nussbaum, Duke Math. Journal,31, 33 (1964). · Zbl 0138.38802 · doi:10.1215/S0012-7094-64-03103-5
[8] A. N. Plesner, Spectral Theory of Linear Operators [in Russian], Nauka (1965). · Zbl 0147.34301
[9] N. V. Borisov, Teor. Mat. Fiz.,11, 19 (1972).
[10] M. H. Stone, J. Indian Math. Soc.,15(B),155 (1951-1952).
[11] N. V. Borisov and A. M. Reikhert, Vestn. LGU (in press).
[12] M. A. Naimark, Normed Rings, Groningen (1960).
[13] P. J. Dixon, Proc. London Math. Soc., (3), 23(1), 53 (1971). · Zbl 0216.41501 · doi:10.1112/plms/s3-23.1.53
[14] V. S. Varadarajan, Goemetry of Quantum Theory, Vol. 2, New York (1970). · Zbl 0194.28802
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