# The dynamics of the Schrödinger–Newton system with self-field coupling

@article{Franklin2015TheDO, title={The dynamics of the Schr{\"o}dinger–Newton system with self-field coupling}, author={Jerrold Franklin and Y Guo and K. Cole Newton and Maximilian Schlosshauer}, journal={Classical and Quantum Gravity}, year={2015}, volume={33} }

We probe the dynamics of a modified form of the Schrödinger–Newton (SN) system of gravity coupled to single particle quantum mechanics. At the masses of interest here, the ones associated with the onset of ‘collapse’ (where the gravitational attraction is competitive with the quantum mechanical dissipation), we show that the Schrödinger ground state energies match the Dirac ones with an error of ∼ 10 % ?> . At the Planck mass scale, we predict the critical mass at which a potential collapse…

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