Schrödinger–Newton equation

Known as: Schrödinger-Newton equations, Schrödinger–Newton equations, Schrodinger–Newton equation 
The Schrödinger–Newton equation, sometimes referred to as the Newton–Schrödinger or Schrödinger–Poisson equation, is a nonlinear modification of the… (More)
Wikipedia

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2014
2014
The necessity of quantising the gravitational field is still subject to an open debate. In this paper we compare the approach of… (More)
Is this relevant?
2008
2008
In this article we consider the linear stability of the spherically-symmetric stationary solutions of the Schrödinger-Newton… (More)
  • table 1
  • figure 1
  • figure 2
  • figure 3
  • table 2
Is this relevant?
2008
2008
A regularized α-system of the nonlinear Schrödinger (NLS) equation with 2σ nonlinear power in dimension N is studied. We prove… (More)
Is this relevant?
2007
2007
We prove an existence and uniqueness result for ground states of one-dimensional Schrödinger-Newton equations. 
Is this relevant?
2006
2006
In this paper we present a WKB approximation for sphericallysymmetric solutions of the Schrödinger-Newton equations. These are… (More)
  • figure 1
  • figure 2
Is this relevant?
2006
2006
  • Theodore Bodurov
  • 2006
The generic form of the nonlinear Schrödinger (NLS) equations is derived from two assumptions which are entirely independent from… (More)
Is this relevant?
Highly Cited
2003
Highly Cited
2003
i dAj dt + γ|Aj |Aj + ε(Aj+1 + Aj−1) = 0, (1) where i = √−1, the index j ranges over the 1D lattice. The lattice may be infinite… (More)
  • figure 1
Is this relevant?
Highly Cited
2003
Highly Cited
2003
We study experimentally nonlinear localization effects in optically induced gratings created by interfering plane waves in a… (More)
  • figure 1
  • figure 3
  • figure 2
  • figure 4
Is this relevant?
Highly Cited
2003
Highly Cited
2003
In a recent paper, Kenig, Ponce and Vega study the low regularity behavior of the focusing nonlinear Schrödinger (NLS), focusing… (More)
Is this relevant?
Highly Cited
1993
Highly Cited
1993
In this announcement we present a general and new approach to analyzing the asymptotics of oscillatory Riemann-Hilbert problems… (More)
Is this relevant?