Catastrophes in the canonical quantization in an expanding universe

Details Catastrophes in the canonical quantization in an expanding universe Catastrophes in the canonical quantization in an expanding universe

Apr 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ncimb..26..396c&link_type=abstract

Nuovo Cimento, Sezione B, vol. 26 B, Apr. 11, 1975, p. 396-408.

Mathematics

9

Astronomical Models, Big Bang Cosmology, Canonical Forms, Quantum Theory, Scalars, Bogoliubov Theory, Cauchy Problem, Hilbert Space, Mathematical Models, Operators (Mathematics), Space-Time Functions, Time Response, Transformations (Mathematics), Two Dimensional Models

Scientific paper

By means of a natural method for the quantization of a massless real scalar field in an expanding universe, it is proved for a Friedman-like model that the time evolution is not implementable in four dimensions, yielding some pathological behavior of the operator of the total number of particles. This pathological behavior is not present in the two-dimensional model.

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