# Schrödinger–Newton equation

## Papers overview

Semantic Scholar uses AI to extract papers important to this topic.

2014

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

- 2008

In this article we consider the linear stability of the spherically-symmetric stationary solutions of the Schrödinger-Newton… (More)

Is this relevant?

2008

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

- 2007

We prove an existence and uniqueness result for ground states of one-dimensional Schrödinger-Newton equations.

Is this relevant?

2006

2006

- 2006

In this paper we present a WKB approximation for sphericallysymmetric solutions of the Schrödinger-Newton equations. These are… (More)

Is this relevant?

2006

2006

- 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

- 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)

Is this relevant?

Highly Cited

2003

Highly Cited

2003

- Optics letters
- 2003

We study experimentally nonlinear localization effects in optically induced gratings created by interfering plane waves in a… (More)

Is this relevant?

Highly Cited

2003

Highly Cited

2003

- 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

- 1993

In this announcement we present a general and new approach to analyzing the asymptotics of oscillatory Riemann-Hilbert problems… (More)

Is this relevant?