On the linearization of Maxwell equations in the field of a weak gravitational wave: L. Baroni, Istituto di Fisica, Università di Bologna, Italy; P. Fortini and C. Gualdi, Istituto di Fisica, Università di Ferrara, Italy

• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 116 KB
• Volume: 161
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(85)90345-8

✦ 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.