The Schrödinger–Newton system with self-field coupling

  title={The Schr{\"o}dinger–Newton system with self-field coupling},
  author={J. Franklin and Y. Guo and A. McNutt and A. Morgan},
  journal={Classical and Quantum Gravity},
We study the Schrodinger–Newton (SN) system of equations with the addition of gravitational field energy sourcing—such additional nonlinearity is to be expected from a theory of gravity (like general relativity (GR)), and its appearance in this simplified scalar setting (one of Einstein's precursors to GR) leads to significant changes in the spectrum of the self-gravitating theory. Using an iterative technique, we compare the mass dependence of the ground state energies of both SN and the new… Expand
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