We set up the Schrödinger equation for the harmonic oscillator in quantum mechanics and explore its analytical solution method. We solve the equation by introducing the dimensionless variable 𝜉, an...

We set up the Schrödinger equation for the harmonic oscillator in quantum mechanics and explore its algebraic solution method. We derive the wave function and energy levels of any stationary state ...

This post introduces the process of implementing multilingual support by applying the Polyglot plugin to a Jekyll blog based on 'jekyll-theme-chirpy'. This is the second post in the series, coverin...

This post introduces the process of implementing multilingual support by applying the Polyglot plugin to a Jekyll blog based on 'jekyll-theme-chirpy'. This is the first post in the series, covering...

Exploring the meaning of 'collective behavior' in the definition of plasma, examining the Saha equation, and clarifying the concept of temperature in plasma physics.

On October 31, 2024, the Claude 3.5 Sonnet model suddenly started processing given tasks with extremely low effort, causing issues with the post auto-translation system that had been working fine f...

We explore the fact that the separated variable solution for a free particle with V(x)=0 cannot be normalized and what this implies, qualitatively show the position-momentum uncertainty relation fo...

Exploring the two generation principles of X-rays as atomic radiation, and the respective characteristics of bremsstrahlung and characteristic X-rays.

We examine the simple yet important representative problem of the 1D infinite square well, which well illustrates the basic concepts of quantum mechanics. We find the nth stationary state ψ(x) and ...

We derive the time-independent Schrödinger equation ψ(x) by applying the separation of variables method to the original form of the Schrödinger equation (time-dependent Schrödinger equation) Ψ(x,t)...