Stephen P. Shipman

activity

20102020

most citedContinuous and discontinuous dark solitons in polariton condensates

7 citations · 7 across the 3 of their papers we have counts for

collaborators

3 papers

math.SP2020

The inverse problem for a spectral asymmetry function of the Schrödinger operator on a finite interval

B. Malcolm Brown, Karl Michael Schmidt, Stephen P. Shipman +1

For the Schrödinger equation $- d^{2} u / d x^{2} + q (x) u = λ u$ on a finite $x$ -interval, there is defined an "asymmetry function" $a (λ; q)$ , which is entire of order $1/2$ and type $1$ in…

cond-mat.other2014★ 7 cited

Continuous and discontinuous dark solitons in polariton condensates

Stavros Komineas, Stephen P. Shipman, Stephanos Venakides

Bose-Einstein condensates of exciton-polaritons are described by a Schrödinger system of two equations. Nonlinearity due to exciton interactions gives rise to a frequency band of d…

math-ph2010

Convergent Power Series for Fields in Positive or Negative High-Contrast Periodic Media

Santiago P. Fortes, Robert P. Lipton, Stephen P. Shipman

We obtain convergent power series representations for Bloch waves in periodic high-contrast media. The material coefficient in the inclusions can be positive or negative. The small…