## The problematic radial momentum operator

In quantum mechanics, position coordinates x,y,z of a particle are replaced with position operators and the components of the momentum

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## The problematic radial momentum operator

## Public Domain Graphs Part 1 – Trigonometry

## An example of fractal generating code

## Common logical pitfalls when learning to write mathematical proofs

## Numerical solution of PDE:s, Part 7: 2D Schrödinger equation

## Numerical solution of PDE:s, Part 6: Adiabatic approximation for quantum dynamics

## Numerical solution of PDE:s, Part 5: Schrödinger equation in imaginary time

## Numerical solution of PDE:s, Part 4: Schrödinger equation

## About the NASA’s TRAPPIST-1 findings

## Numerical solution of PDE:s, Part 3: 2D diffusion problem

In quantum mechanics, position coordinates x,y,z of a particle are replaced with position operators and the components of the momentum

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