Monthly Archives: April 2024
Static Euler-Bernoulli Beam Equation
The purpose of this post is to present a quick derivation of the static Euler-Bernoulli beam equation. This is something I’ve reviewed many times before and kept forgetting, so I decided to write it up once and for all to … Continue reading
Legendre Transforms as Derivative Symmetrizers
Suppose you know that \(p\) is the derivative of some function with respect to \(v\). A natural question is whether or not the roles of \(v\) and \(p\) can be reversed, that is, can \(v\) also be viewed as the … Continue reading
Where Do Observables Come From?
The purpose of this post is to explain where observables in non-relativistic quantum mechanics (notably the position \(\textbf X\), momentum \(\textbf P\), orbital angular momentum \(\textbf L\), spin angular momentum \(\textbf S\) and Hamiltonian \(H\) observables) arise from, and why … Continue reading