As we know, when light travels through nonlinear media, phenomena such as the Kerr effect alter the pulse evolution. To understand how light pulse propagation changes, we use the famous equation known ...

MELVILLE, N.Y., May 6, 2020 /PRNewswire/ -- Two early career researchers have been announced as the winners of the inaugural Best Paper by an Emerging Investigator Award by The Journal of Chemical ...

We present an application of a nonstandard approximate method---the finite-rank approximation---to solving the time-independent Schrödinger equation for a bound-state problem. The method is ...

Solving the Schrödinger equation analytically for complex quantum systems is often challenging or impossible. Traditional numerical methods can be computationally expensive and limited in scalability.

Abstract: We constructed a physics-informed neural network (PINN) to solve the nonlinear Schrödinger equation for different input waveforms. Results show that PINN can accurately characterize pulse ...

Abstract: Solving the time-dependent Schrodinger equation (TDSE) in the presence of noisy or incomplete data is a significant challenge in quantum mechanics, particularly when both the real and ...

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

This is a preview. Log in through your library . Abstract We construct a local in time, exponentially decaying solution of the one-dimensional variable coefficient Schrödinger equation by solving a ...