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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β¦ 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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