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”.