Blog

12 June 2020:
A Fresh Look At The Quantum Harmonic Oscillator

A textbook favorite re-analyzed in the light of position-momentum similarity.
25 May 2020:
Auto Tweeting About Blog Updates

How to auto-tweet about Jekyll blog updates using a combination of the Twitter API and some clever shell programming.
18 May 2020:
An Operator Based Justification Of The Heisenberg Uncertainty Principle

An operator-based proof of Heisenberg’s uncertainty principle: σₓ² σₖ² ≥ 1/4
15 March 2020:
Breaking Down The Fourier Transform

An operator-based proof of spectral decomposition of the Fourier transform in terms of the Hermite functions.
15 February 2020:
Position And Momentum Are Similar In Nature

In my opinion an interesting relationship between the position and derivative operators X̂ and D̂ₓ, through a similarity transformation with the Fourier transform operator.
09 February 2020:
Digging Into The Fractional Fourier Transform

My sporadic thoughts on the fascinating fractional Fourier transform, in the course of my work developing new x-ray imaging methods.
18 July 2019:
A Phase Retrieval Tweak For Spatially Compressed Diffraction Data

Some press coverage that one of my early phase retrieval papers received.
01 May 2019:
A Fast Mesh Refinement Algorithm

A way to quickly generate spherical meshes recursively from Platonic solids, with a Matlab/Octave implementation.
12 April 2019:
Welcome To My Blog

Watch this space for a heterogeneous but (I hope) interesting collection of posts on topics in physics, mathematics and what I like to call “little programming victories”.