ABSTRACT: We present a novel integrated mathematical and numerical framework for the nonlinear Schrödinger equation in open quantum systems under electromagnetic fields, with a particular focus on ...

It can take years for humans to solve complex scientific problems. With AI, it can take a fraction of the time. Dr. Shuiwang Ji, a professor in the Department of Computer Science and Engineering at ...

In this tutorial, we will examine the nonlinear effects of the Bloch wave packet, providing a wave interpretation of the superconductivity of metals. Fundamentally, solitons do not exhibit the typical ...

Partial Differential Equations (PDEs) are central to both pure and applied mathematics. Any quantity which changes in space and time will satisfy certain partial differential equations because the ...

ABSTRACT: This study compares the Adomian Decomposition Method (ADM) and the Variational Iteration Method (VIM) for solving nonlinear differential equations in engineering. Differential equations are ...

Abstract: This paper aims to develop a numerical method to solve the Schrodinger equation in a time-dependent dimension for mobility problem in a N-MOSFET using the finite difference method. The ...

Abstract: A spectral element time-domain (SETD) method with perfectly matched layers (PML) is proposed to simulate the behavior of electron waves, interference effects and tunneling effects, in ...

This project introduces a solver for the 1D Schrödinger equation using the Finite Difference Method (FDM). The code leverages GPU acceleration for efficient computations, enabling the exploration of ...

The dynamics of Europe’s deadliest war in generations remain exceedingly violent and increasingly complicated by factors far from the battlefield. By Marc Santora and Constant Méheut Marc Santora ...