Probability Normal Distribution of Complex Numbers
We consider the probability density function of the normal distribution when the random variable is a complex number. We also briefly touch upon Brownian motion of complex numbers.
2024-10
Probability 
Algebra Quadratic Equations of Complex Numbers
This article considers a method for solving quadratic equations over complex numbers, as I thought it might be necessary when solving the Dirac equation numerically.
Analysis 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.
Physics 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.
Analysis Distance on a Sphere
This article considers distances on a sphere and compare their properties with those in Euclidean space. We present the hypothesis that distances in gravity may not be exactly distances in Euclidean space, but may be approximations of distances on a sphere.