Name: Peter Jay Salzman
Email: p@dirac.org
Affiliation: University of California at Davis, Dept. of Physics (grad)
Webpage: www.dirac.org


Title:
Investigation Of The Time Dependent Schrodinger-Newton Equation


Abstract:
The theory of semi-classical gravity is one of the simplest attempts to unify
general relativity and quantum mechanics.  Under the same assumptions that
reduce general relativity to Newtonian gravity, semi-classical gravity
reduces to the non-linear time dependent Schrodinger-Newton (TDSN) equation.

I've been investigating the TDSN equation for a self-gravitating particle and
found that for an isolated non-interacting particle, large mass wavefunctions
collapse under the particle's own gravitational potential.  Small mass
wavefunctions spread like a free particle, but are more reluctant to do so.