Schrödinger Equation

Numerical Solution of the Schrödinger Equation

This article explains the finite difference method as a numerical solution of the Schrödinger equation. We show the results of calculations for the case of free particles and one-dimensional Coulomb potential.

2024.10.11

Analysis

Schrödinger Equation for One-dimensional Coulomb Potential

This article presents an unconventional solution to the Schrödinger equation in the presence of a one-dimensional Coulomb potential.

2024.10.08

Physics

Schrödinger Equation in the Free State (3 Dimensions)

In this article, we derive the solution to the three-dimensional Schrödinger equation when we consider a Gaussian wave packet model (white noise model) in the same way as in the one-dimensional case.

2024.08.25

Physics

Complex Functions and Schrödinger Equation

A short story about the title of the author's book "Complex Functions and the Schrödinger Equation".

2024.07.08

AnalysisPhysics

Harmonic Oscillator and Schrödinger Equation

This article explains what kind of probability distribution the Schrödinger equation for the harmonic oscillator expresses, and presents an interpretation of the solution.

2024.07.04

Physics

Schrödinger Equation in the Free State

Let us solve the Schrödinger equation to find how the probability distribution of the coordinates at which the electron is detected changes in the free state.

2024.06.27

Physics

A Quantum Mechanical Financial Time Series Model

An introduction to the author's paper "A Quantum Mechanical Financial Time Series Model".

2024.06.25

Paper