Bounds states of the Schr\"odinger-Newton model in low dimensions
classification
🧮 math-ph
math.MP
keywords
dimensionsmodelodinger-newtonschralonganalysisangularbounds
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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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