In the previous numerical solution posts, I described linear equations like diffusion equation and the Schrödinger equation, and how they
In quantum mechanics, position coordinates x,y,z of a particle are replaced with position operators and the components of the momentum
Haven’t been posting for a while, but here’s something new… Earlier I showed how to solve the 1D Schrödinger equation
In the earlier posts related to PDE numerical integration, I showed how to discretize 1-dimensional diffusion or heat conduction equations
The infinite-dimensionality of quantum state spaces makes learning QM difficult for many. Here I’ll give a simple example why the fundamental position-momentum commutation relation is not possible with NxN square matrix operators.
In the previous blog post, I showed how to solve the diffusion equation using the explicit method, where the equation
The balancing of chemical reaction equations is familiar for many, either from high school chemistry or introductory university chemistry. A
Everyone knows the definition of the square root of a non-negative number: if x > 0, then the square root