A Schrodinger Equation for Quantum Universes

We discuss how to fix the gauge in the canonical treatment of Lagrangians, with finite number of degrees of freedom, endowed with time reparametrization invariance. The motion can then be described by an effective Hamiltonian acting on the gauge shell canonical space. The system is then suited for q...

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Bibliographic Details
Published inarXiv.org
Main Authors Cavaglia, Marco, de Alfaro, Vittorio, Filippov, Alexandre T
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 01.09.1994
Subjects
Boson fields
Schrodinger equation
Universe
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Summary:We discuss how to fix the gauge in the canonical treatment of Lagrangians, with finite number of degrees of freedom, endowed with time reparametrization invariance. The motion can then be described by an effective Hamiltonian acting on the gauge shell canonical space. The system is then suited for quantization. We apply this treatment to the case of a Robertson--Walker metric interacting with zero modes of bosonic fields and write a \S equation for the on--shell wave function (Presented at the International Workshop ``Birth of the Universe and Fundamental Physics'', Rome, May 18-21, 1994).
ISSN:2331-8422
DOI:10.48550/arxiv.9408044