Functional change of variables in the Wheeler-De Witt equation
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Date
1993-04-30
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SISSA
Abstract
I present a new way to solve the Wheeler-de Witt equation using the
invariance of the classical lagrangian under reparametrization. This property allows one to introduce an arbitrary function for each degree of freedom of the wave function $\Psi$: this arbitrariness can be used to fix the asymptotic behaviour of $\Psi$ so as to obtain a wave function representing a closed universe or a wormhole. These considerations are applied in detail to the Kantowsky-Sachs spacetime.
Description
11 pages, no figures. Plain tex