Bounds states of the Schrödinger-Newton model in low dimensions

Details Bounds states of the Schrödinger-Newton model in low dimensions Bounds states of the Schrödinger-Newton model in low dimensions

2008-12-11

arxiv.org/abs/0812.2152v1

Physics

Mathematical Physics

Scientific paper

We prove the existence of quasi-stationary symmetric solutions with exactly
n>=0 zeros and uniqueness for n=0 for the Schr\"odinger-Newton model in one
dimension and in two dimensions along with an angular momentum m>=0. Our result
is based on an analysis of the corresponding system of second-order
differential equations.

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