Canonical Approach to the Creation of Scalar Particles in the Chitre-Hartle Model-Universe

摘要

The average number of created particle-pairs in the Chitre-Hartle model universe was obtained. The calculation starts from the fact that the Haukel functions in canonical expression are related to the Bessel functions. Since the universe under consideration becomes singular at t = 0, the value of mt must be larger than zero. It may be said that the time-dependent function in the Feynmann propagator is of positive frequency in the neighborhood of t = 0. The expression for this time-dependent function was obtained. The expression of amplitude was derived when a pair of particles is gravitationally created in the universe under consideration and detected later in the states specified by the solutions of the above mentioned time-dependent function. By using this amplitude, the average number of created particle-pairs can be calculated. The expression for the average number includes the physical energy of a particle-pair, the temperature and a measure of the chemical potential which vanishes in the case of a purely thermal law. (Atomindex citation 11:561003)