A quantum potential approach for the gravitational Schrödinger equation and its reduction into the Lane-Emden equation of index 2.

Physics

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Gravitation Theory, Stellar Evolution

Scientific paper

It is shown that the eigenvalue equation in the Jones' (1995) treatment
of gravitational self-energy may be obtained from a model of extended
particles using the quantum potential in the causal interpretation of
quantum mechanics and reduced to the Lane-Emden equation of index 2 that
has been discussed extensively in the theory of stellar evolution.

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