Stochastic nonlinear wave equations and Schrödinger equations represent a fascinating confluence of probability theory and the analysis of partial differential equations. By incorporating random ...

Quarterly of Applied Mathematics, Vol. 68, No. 1 (March 2010), pp. 61-71 (11 pages) We address the problem of describing solutions of the nonlinear Schrödinger equation on a compact surface in the ...

In the strange world of quantum mechanics, objects can exist in several states at once. This concept, called superposition, is one of the most puzzling features of quantum theory. A particle, for ...

Physicists’ main goal is to be able to predict what will happen in the future based on patterns they’ve already observed, whether in massive systems of stars or tiny groups of atoms. Predicting ...

We consider the system linearly coupled by nonlinear Schrödinger equations in ℝ3: $\{\begin{array}{c}-\mathrm{\Delta }{\mathrm{u}}_{\mathrm{j}}+{\mathrm{u ...

Light Publishing Center, Changchun Institute of Optics, Fine Mechanics And Physics, CAS Four decades ago, Feynman proposed the idea that the operation of a complex quantum system can be simulated by ...

A new imaging technique, which captured frozen lithium atoms transforming into quantum waves, could be used to probe some of the most poorly understood aspects of the quantum world. When you purchase ...