# Schrödinger-Newton-Hooke system in higher dimensions: Stationary states

@article{Ficek2021SchrdingerNewtonHookeSI, title={Schr{\"o}dinger-Newton-Hooke system in higher dimensions: Stationary states}, author={Filip Ficek}, journal={Physical Review D}, year={2021}, volume={103} }

The Schrödinger equation with a harmonic potential coupled to the Poisson equation, called the Schrödinger–Newton–Hooke (SNH) system, has been considered in a variety of physical contexts, ranging from quantum mechanics to general relativity. Our work is directly motivated by the fact that the SNH system describes the nonrelativistic limit of the Einstein-massive-scalar system with negative cosmological constant. With this paper we begin the investigations aiming at understanding solutions of…

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