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Israel-Wilson metrics: Brian Whitt. Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge CB3 9EW, United Kingdom


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
77 KB
Volume
161
Category
Article
ISSN
0003-4916

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✦ Synopsis


In this paper an algebraic approach to canonical quantization on indefinite inner product space is presented. Concrete realization of such quantization of given classical system described by a symplectic space (M. a) is obtained by means of so called ./*-representation of CCR algebra d(M, 0). So-called Fock-Krein representations of d(M. a) determined by some class of complex structures on (M, u) are studied in detail. It is shown that every Fock-Krein representation is unbounded. Starting with fixed Fock-Krein representation of CCR, sectors of non-Fock-Krein representations are constructed. Israel-Wilson Me/rim BRIAN WHITT.


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