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

  title={Schr{\"o}dinger-Newton-Hooke system in higher dimensions: Stationary states},
  author={Filip Ficek},
  journal={Physical Review D},
  • F. Ficek
  • Published 31 March 2021
  • Physics
  • Physical Review D
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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