kaname.hirano

Physics

Quantum Computing

In previous post, I mentioned that the concept of time that we perceive is different from the concept of time assumed in quantum mechanics. From this perspective, I will try to explain how quantum computing works.
2024.11.13
Physics
Analysis

Complex Function and Time

This article will consider in what form time expressed as a complex function can be expressed when considering the progression of time with fixed coordinates.
2024.11.07
AnalysisPhysics
Probability

Regression Analysis Like Machine Learning

This article shows what happens when stochastic gradient descent, a method often used in machine learning, is applied to parameter estimation in regression analysis.
2024.11.02
Probability
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
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.
2024.10.16
AlgebraAnalysis
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.
2024.10.11
Analysis
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.
2024.10.08
Physics
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.
2024.10.02
Analysis
Physics

Gravity in One-dimensional Space

This article considers gravity when space is one-dimensional. I believe that by expanding this to what happens when it becomes two-dimensional, and then three-dimensional, I will be able to arrive at the true essence of gravity.
2024.09.24
Physics
Analysis

Numerical Solution of Ordinary Differential Equations

This article will provide an overview of the Euler method and the Runge-Kutta method as numerical methods for solving ordinary differential equations with initial conditions. For equations that cannot be solved analytically, we will use numerical methods to explain them.
2024.09.18
Analysis
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