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A numerical study of the Schrödinger-Newton equations

Abstract:

The Schrödinger-Newton (S-N) equations were proposed by Penrose [18] as a model for gravitational collapse of the wave-function. The potential in the Schrödinger equation is the gravity due to the density of $|\psi|^2$, where $\psi$ is the wave-function. As with normal Quantum Mechanics the probability, momentum and angular momentum are conserved. We first consider the spherically symmetric case, here the stationary solutions have been found numerically by Moroz et al [15] and Jones et al [3]...

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Publisher:
University of Oxford;Mathematical Institute
Publication date:
2001
UUID:
uuid:b36a580a-ade8-49a2-ad80-1048a2652b9f
Local pid:
oai:eprints.maths.ox.ac.uk:41
Deposit date:
2011-05-19

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