The wave function of the De Sitter universe

Mathematics – Logic

Scientific paper

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Cosmology, Quantum Theory, Universe, Wave Functions, Analytic Functions, Boundary Value Problems

Scientific paper

The quantum cosmological De Sitter model is examined. The Hartle-Hawking expression for the wave function of the universe makes it possible to select a particular solution of the Wheeler-de Witt equation in the space of the imaginary values of the conformal factor a. An analytic expression for this solution is obtained, and its analytic continuation to the space of real values of a is effected.

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