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

So, you’re looking to get a handle on quantum mechanics, huh? It’s a bit of a beast, not gonna lie. But the good news is, ...

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 ...

The heart of quantum mechanics is the wave-particle duality: matter and light possess both wave-like and particle-like attributes. Typically, the wave-like properties are inferred indirectly from the ...