Inequivalence of unitarity and self-adjointness: An example in quantum cosmology

Details Inequivalence of unitarity and self-adjointness: An example in quantum cosmology Inequivalence of unitarity and self-adjointness: An example in quantum cosmology

Feb 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvd..41.1358l&link_type=abstract

Physical Review D (Particles and Fields), Volume 41, Issue 4, 15 February 1990, pp.1358-1359

Mathematics

Logic

4

Scientific paper

An example of a quantum cosmological model is presented whose dynamics is unitary although the time-dependent Hamiltonian operator fails to be self-adjoint (because it is not defined) for a particular value of t. The model is shown to be singular, and this disproves a conjecture put forward by Gotay and Demaret to the effect that unitary quantum dynamics in a ``slow-time'' gauge is always nonsingular.

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