Learn about the definition and characteristics of second-order linear differential equations, and understand the important theorem of the superposition principle and the resulting concept of basis ...

Calculate the energy transfer rate due to particle collisions for both elastic and inelastic collisions, and compare the magnitude of energy transfer rates for cases when the masses of the two coll...

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 on a Jekyll blog based on 'jekyll-theme-chirpy' using the Polyglot plugin. As the first in the series, this post covers applyin...

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.