In a shameless attempt to get traffic from Google Image Search to my blog, I’m going to post relatively large-resolution
Fractals are structures that contain features at all scales, which means that they always reveal more features when zoomed into.
Mathematics is needed in many scientific disciplines, even though it’s used in somewhat different ways in them. A theoretical physicist
Haven’t been posting for a while, but here’s something new… Earlier I showed how to solve the 1D Schrödinger equation
Having solved the time-dependent Schrödinger equation both in real and imaginary time, we can move forward to investigate systems where
In the last post, I mentioned that the solution of the time dependent 1D Schrödinger equation can be written by
In the earlier posts, I showed how to numerically solve a 1D or 2D diffusion or heat conduction problem using
Yesterday, I was excitedly following the NASA press conference about the exoplanets found orbiting the star TRAPPIST-1 located 39 light
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.