The Schrödinger equation is a fundamental equation in quantum ... where the energy levels and wave functions can be expressed in terms of confluent Heun functions [1][4]. By constructing ...

Stochastic nonlinear wave equations and Schrödinger equations are important ... of the three-dimensional stochastic nonlinear wave equation (SNLW) with quadratic nonlinearity.

This script solves the time-independent Schrödinger equation numerically using the finite difference method. It calculates and visualizes the probability density of a quantum particle in a ...

The Korteweg–de Vries (KdV) equation and its solitary wave solution are discussed. The nonlinear Schrödinger equation (NLSE) and the cubic‐quintic complex Ginzburg–Landau equation (CGLE) are presented ...

The equation at the heart of his publication became known as Schrödinger's wave equation. This was the second theoretical explanation of electrons in an atom, following Werner Heisenberg's matrix ...

In this report we explored some of the issues regarding the TIE, especially bearing electron microscopy in mind, and clarified that: (i) the TIE for electrons exactly corresponds to the Schrödinger ...

Schrödinger was a theoretical physicist and a significant contributor to the wave theory of matter, a form of quantum physics. He mathematically devised an equation of wave mechanics that bears his ...