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. 2024.10.23 Probability
Probability Probability Distribution on the Sphere This article consider a probability distribution that is uniformly distributed on a sphere. In the case of a two-dimensional sphere, the probability distribution of each coordinate has a uniform distribution, and has some interesting properties. 2024.09.08 Probability
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
Probability The Probability Distribution of Composites of Normal Random Numbers For two random numbers that follow a normal distribution, the probability distribution that their sum, product, ratio, etc. follow is shown. 2024.07.18 Probability
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