What’s the relation of theories of physics to the actual physical reality they are describing? A naive answer would be
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
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
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.