Computer Science
Scientific paper
May 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974phdt.........6f&link_type=abstract
Ph.D. Thesis Princeton Univ., NJ.
Computer Science
5
Kerr Effects, Measurement, Quantum Mechanics, Scalars, Angular Momentum, Perturbation, Space-Time Functions
Scientific paper
A discussion of field quantization in a curved background spacetime is presented, with emphasis on the quantization of a scalar field in the Kerr spacetime. Ambiguity in the choice of a Fock space is discussed. The example of quantized fields in a rotating frame of reference in Minkowski space is analyzed, and it is shown that there is a preferred choice of states which makes particle number an invariant under transformation to the rotating frame. This choice allows the existence of negative energy quanta of the field. The Klein-Gordon equation in the Kerr metric is studied and some properties of its solutions reviewed. The quantum mechanics of a single scalar particle in a Kerr gravitational field is developed in terms of the Feshbach-Villars two-component formalism. In particular, the weak field limit of this equation is examined. The limits of the single particle theory are pointed out. A perturbation analysis is used to determine the single particle energy levels as functions of the angular momentum of the Kerr field.
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