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

Here’s Schrödinger’s equation for a single particle in quantum mechanics, where ψ (x,t) is the particle’s wave function, or a list of its given properties: ...

For a large class of nonlinear Schrödinger equations with nonzero conditions at infinity and for any speed c less than the sound velocity, we prove the existence of nontrivial finite energy traveling ...

In 1935, in a Europe on the brink of war, Erwin Schrodinger trapped an imaginary cat inside a quantum puzzle -- and in doing ...

De Broglie waves, the Schroedinger equation, wave functions, wave packets, Heisenberguncertainty principle, expectation values, particle in a box, the simple harmonic oscillator, free particles, step ...

What the equation describes: Wavefunction: The Schrödinger equation uses a function called the wavefunction (usually denoted by the Greek letter ψ) to represent the quantum state of a system.

Devised in 1935 by the Austrian physicist Erwin Schrödinger, this thought experiment was designed to shine a spotlight on the ...