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  • 1
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We give mathematically rigorous results on the quantization of the covariant Klein Gordon field with an external stationary scalar interaction in a stationary curved space-time. We show how, following Segal, Weinless etc., the problem reduces to finding a “one particle structure” for the corresponding classical system. Our main result is an existence theorem for such a one-particle structure for a precisely specified class of stationary space-times. Byproducts of our approach are: 1) A discussion of when a given “equal-time” surface in a given stationary space-time is Cauchy. 2) A modification and extension of the methods of Chernoff [3] for proving the essential self-adjointness of certain partial differential operators.
    Type of Medium: Electronic Resource
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