A split-step method is used to discretize the time variable for the numerical solution of the nonlinear Schrödinger equation. The space variable is discretized by means of a finite difference and a ...

It’s more like the path taken through the abstract space of possible states the system might have, which is called Hilbert space. In traditional quantum theory, that path is described by the wave ...

A wave function describes all of the possible states that such particles can have, including properties like energy, momentum, and position. "The wave function is a combination of all of the ...

Instead, you have to describe an electron’s position as a wave function, or a probability distribution that describes where the electron is more likely to occur. The term superposition in quantum ...

It underpins the whole theory of quantum mechanics, but does it exist? For nearly a century physicists have argued about whether the wave function is a real part of the world or just a ...

The image shows sharp red dots of fluorescing atoms transforming into fuzzy blobs of wave packets and is a stunning demonstration of the idea that atoms exist as both particles and waves — one ...

We consider the wave equation in two spatial dimensions driven by space–time Gaussian noise that is white in time but has a nondegenerate spatial covariance. We give a necessary and sufficient ...

Theoretical physicists have proposed a new solution to the Schrödinger's cat paradox, which may allow the theories of quantum mechanics and Einstein's relativity to live in better harmony.