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

Nivaldo A. Lemos
Phys. Rev. D 41, 1358 – Published 15 February 1990
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Abstract

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.

  • Received 23 June 1989

DOI:https://doi.org/10.1103/PhysRevD.41.1358

©1990 American Physical Society

Authors & Affiliations

Nivaldo A. Lemos

  • Instituto de Física, Universidade Federal Fluminense, 24020 Niterói, Rio de Janeiro, Brasil

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Vol. 41, Iss. 4 — 15 February 1990

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