2002/08/30 by R. Harrison, Robert Harrison, I. Moroz +5
Mathematics · Physics and Astronomy · #Experimental and Theoretical Physics Studies #Mathematical and Theoretical Analysis #Quantum Mechanics and Applications #math-ph #math.MP #msc:81v17
paper · pdf · doi:10.48550/arxiv.math-ph/0208046
latex, 23 pages, 18 figures
arxiv created 2002/08/30 · arxiv updated 2009/11/30
We present a numerical study of the time-dependent SN equations in 3 dimensions with 3 different kinds of symmetry: spherically symmetric, axially symmetric and translationally symmetric. We find that the solutions manifest the competing tendencies of dispersion from the Schrodinger equation and gravitational attraction from the Poisson equation. Only the ground state is stable, and lumps of probability attract each other gravitationally before dispersing to leave a nugget of the ground state.