A numerical study of the Schrödinger - Newton equation 2 : the time - dependent problem
نویسندگان
چکیده
We present a numerical study of the time-dependent SN equations in three dimensions with three kinds of symmetry: spherically symmetric , axially symmetric and translationally symmetric. We find that the solutions show a balance between the dispersive tendencies of the Schödinger equation and the gravitional attraction from the Poisson equation. Only the ground state is stable, and lumps of probability attract each other gravitationally before dispersing.
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