Quantum wormhole with conformal scaler field

Mathematics – Probability

Scientific paper

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Black Holes (Astronomy), Quantum Theory, Scalers, Wave Functions, Ground State, Harmonic Functions, Plancks Constant, Probability Density Functions

Scientific paper

Using the Hartle-Hawking metod, we discuss the quantum wormhole with conformal scatter field. The corresponding Wheeler-De Witt equation was derived, and the wave function of the wormhole calculated. The wormhole's wave function we obtained is the product of double harmonic solutions. After analyzing the wormhole's wave function, we found that the probability density of the wormhole equals appearing at a = 0, and that the minimal radius of the ground state of the wormhole is on the planck scale. Analyzing the wormhole's wave function also reveals that the wormhole was likely be piled at Phi = 0.

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