General · Language · Media

Quantum mechanics math basics – tasting the notation

[Communicating science series] All hail vector spaces! Imagine walking into an elementary school classroom and finding kids talking about quantum states. Depicting quantum interactions using diagrams and bra-ket manipulatives, for wave functions. Someday, eh. While we may never achieve Ernest Rutherford‘s notion of a quantum theory so simple that we can explain it to an… Continue reading Quantum mechanics math basics – tasting the notation

General · Language · Site

Eigen what?

In reading about vibrations in fields and wave functions and wave packets, some words that start with ‘e’ occurred a lot: eigenvalue, eigenvector, eigenfunction, eigenvalue equation, eigenequation [1]. I needed to refresh my understanding of the mathematical models for macroscopic and microscopic systems [2]. Everyday we are surrounded by things that vibrate when excited. Some… Continue reading Eigen what?