Mode decomposition and unitarity in quantum cosmology, Talk given at the Second Meeting on Constrained Dynamics and Quantum gravity, Santa Margherita Ligure, September 17-21, 1996

Abstract

Contrary to common belief, there are perspectives for generalizing the notion of positive and negative frequency in minisuperspace quantum cosmology, even when the wave equation does not admit symmetries. We outline a strategy in doing so when the potential is positive. Also, an underlying unitarity structure shows up. Starting in the framework of the Klein-Gordon type quantization, I am led to a result that relies on global features on the model, and that is possibly related to structures encountered in the refined algebraic quantization scheme.

5 pages, LaTeX (no figures)

References in corpus (3)

• Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
• Quantum Observables and Recollapsing Dynamics
• Decomposition and unitarity in quantum cosmology

Cited by in corpus (2)

• Evolution in totally constrained models: Schrödinger vs. Heisenberg pictures
• The old frequency decomposition problem in the light of new quantization methods