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Article: Numerical solution of time-dependent gravitational Schrodinger equation.

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Progress in Physics
Article date:
April 1, 2007
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In recent years, there are attempts to describe quantization of planetary distance based on time-independent gravitational Schrodinger equation, including Rubcic & Rubcic's method and also Nottale's Scale Relativity method. Nonetheless, there is no solution yet for time-dependent gravitational Schrodinger equation (TDGSE). In the present paper, a numerical solution of time-dependent gravitational Schrodinger equation is presented, apparently for the first time. These numerical solutions lead to gravitational Bohr-radius, as expected. In the subsequent section, we also discuss plausible extension of this gravitational Schrodinger equation to include the effect of phion ...

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