Physics
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.
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.
Physics Elliptical Motion in the Theory of Relativity
This article derives an equation of motion equivalent to the Schwarzschild solution from the theory of analytical mechanics in a conical coordinate system.
Physics Two-body Problem
This article consider how the equations of motion for elliptical motion in classical mechanics, known as the two-body problem, can be formulated by rewriting the equations as if two masses were moving independently.
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.
Physics Motion and Energy in the Theory of Relativity
Consider the hypothesis that the space-time of the theory of relativity is a conical coordinate system. We will summarize the discussion of what the equations of motion and conserved quantities are under this hypothesis, and show the problems.
Analysis Kepler Equation
The orbits of planets and other objects moving around stars are elliptical, but the angular velocity is not constant. We consider a method of finding a solution to an algebraic equation called the Kepler equation by using Bessel functions.
Physics Elliptical Motion in Classical Mechanics
This article consider elliptical motion in three-dimensional space. Typically, it would be the motion of a planet orbiting a large star such as the Sun.
Physics Uniform Circular Motion in the Theory of Relativity
This article explain the theory of uniform circular motion in classical mechanics and extend it to the case of the theory of relativity.
Physics Free Fall in the Theory of Relativity
The falling motion caused only by gravity, ignoring the effects of air resistance and friction, is called free fall. Find the equation of motion for free fall in the theory of relativity.