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)...

Learn how to calculate the expectation values of position and momentum from the wave function in quantum mechanics, and extend this to the calculation formula for the expectation value of any mecha...

We examine the basic form of the Schrödinger equation, which holds a similar position in quantum mechanics as Newton's laws of motion in classical mechanics. We also explore the statistical interpr...

We explore the concept of reference frames and the Galilean transformation widely used in classical mechanics. We also briefly examine Maxwell's equations and the Michelson-Morley experiment, which...

This post covers designing prompts for multilingual translation of markdown text files, and automating the process using Python with the API key obtained from Anthropic and the created prompts. Thi...