ISSN:
1573-0530
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract In Section 1 we analyse the structure of the infinite-dimensional Hamiltonian system described by the Klein-Gordon equation (free real scalar field) in stationary space-times with closed space sections; we give an existence and uniqueness theorem for the Lichnerowicz distribution kernelG 1 together with its proper Fourier expansion, and we construct the Hilbert spaces of frequency-part solutions defined by means ofG 1. In Section 2 an analysis, a theorem and a construction similar to the above are formulated for thefree real field spin 1, massm〉0, in one kind of static space-times. In this letter, only results are given. For detailed proofs and further results, see reference [9], [10] and [11].
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01793955
Permalink