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Showing 1 to 3 of 3 for “"Gross-Pitaevskii equations"”.
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Rotating Nonlinear States in Gross-Pitaevskii Equations
… we consider a class of nonlinear Schr\"odinger equations with angular momentum rotation term, which is also known as the Gross-Pitaevskii equation in the physics literature. This equation is a well-known model for ultra-cold quantum gases in rotating traps. Our results include two main …
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Statistical Analysis of Highly Correlated Systems in Biology and Physics
… explore the limit of rapid rotations, where the Gross-Pitaevskii equation is no longer valid. Interestingly, the Gross-Pitaevskii equation seems to be valid for much higher densities than expected if properly renormalized. I show that, in accord with the prediction of the Gross-Pitaevskii …
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Radial, vortex, and spiral solutions to the nonlinear Schrödinger equation and other reaction--diffusion systems
… system of nonlinear ordinary differential equations. This system is shown to be a special case of the $\lambda$-$\omega$ reaction-diffusion system, whose spiral solutions exist for a nonconstant phase.