Using a Fourier spectral method, we provide a detailed numerical investigation of dispersive Schrödinger-type equations involving a fractional Laplacian in an one-dimensional case. By an appropriate ...

Stochastic Nonlinear Schrödinger Equations (SNLSEs) extend the classical nonlinear Schrödinger framework by incorporating random fluctuations, thereby capturing the interplay between deterministic ...

In this paper we consider the local well-posedness theory for the quadratic nonlinear Schrödinger equation with low regularity initial data in the case when the nonlinearity contains derivatives. We ...

The relationship between quantum mechanics and classical physics has baffled scientists for decades. In the quantum world, particles can exist in multiple states at once—a phenomenon known as ...

Receive emails about upcoming NOVA programs and related content, as well as featured reporting about current events through a science lens. That may come as a surprise to those who associate ...

In developing drugs using a platform that joins physics with machine learning, Schrödinger sees more than a passing resemblance to the studio whose Toy Story and other computer-generated movies ...

"Of all the equations of physics, perhaps the most magical is the Dirac equation." When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. British ...