A SCHRÖdinger Equation for Mini Universes

Abstract

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 §equation for the on--shell wave function.

21 pages, PLAIN-TEX, Ref: DFTT 6/94, SISSA 25/94/A

References in corpus (1)

• Quantization of the Closed Mini-Superspace Models as Bound States

Cited by in corpus (14)

• Noncommutative Conformally Coupled Scalar Field Cosmology and its Commutative Counterpart
• $R+R^2$ Gravity as $R+$ Backreaction
• Quantization of Friedmann-Robertson-Walker spacetimes in the presence of a negative cosmological constant and radiation
• Critique of the Wheeler-DeWitt equation
• Tunneling probability for the birth of an asymptotically DeSitter universe
• Time Gauge Fixing and Hilbert Space in Quantum String Cosmology
• Canonical and path integral quantisation of string cosmology models
• Noncommutativity Effects in FRW Scalar Field Cosmology
• Noncommutative Double Scalar Fields in FRW Cosmology as Cosmical Oscillators
• Unified description of cosmological and static solutions in affine generalized theories of gravity: vecton - scalaron duality and its applications
• On the Schrödinger Equation for the Supersymmetric FRW Model
• Approximate Canonical Quantization for Cosmological Models
• Quantum Cosmology With Conformally Invariant Scalar Field
• A fresh view of cosmological models describing very early Universe: general solution of the dynamical equations