Dan JacksoninCantor’s ParadiseSolving the Neutron Diffusion Equation and Calculating the Critical Mass of UraniumThe solution to the partial differential equation that gave the Allies the first atomic bomb in WWII.·11 min read·May 26, 2023----
Dan JacksoninTowards Data ScienceGrover’s Quantum Search AlgorithmA visual explanation of one of the first quantum algorithms·16 min read·May 23, 2023----
Dan JacksoninCantor’s ParadiseDerivation of the Neutron Diffusion EquationDeriving the partial differential equation at the heart of nuclear engineering. The maths of nuclear reactors and atomic bombs.·8 min read·May 23, 2023----
Dan JacksoninCantor’s ParadiseHow a Small Miscalculation Stopped Germany From Developing the Atomic Bomb in WWIIHeisenberg’s controversial miscalculation of the critical mass of an atomic bomb.·14 min read·May 10, 2023--12--12
Dan JacksoninCantor’s ParadiseAn Introduction to Quantum DotsA gentle intro to the theory and mathematics behind semiconductor nanocrystals.·13 min read·Mar 8, 2023--1--1
Dan JacksoninCantor’s ParadiseThe Chebyshev Spectral MethodA quick introduction to an interesting numerical differentiation technique.·11 min read·Feb 28, 2023--3--3
Dan JacksoninCantor’s ParadiseThe Origins of the Schrödinger EquationA simple heuristic derivation of the Schrödinger equation based on de Broglie’s wave-particle hypothesis.·9 min read·Feb 4, 2023--7--7
Dan JacksoninCantor’s ParadiseQuantum Beam Splitters & The Hong-Ou-Mandel EffectThe bizarre quantum behaviour of photons at the heart of linear optical quantum computing.·15 min read·Feb 1, 2023--1--1
Dan JacksoninCantor’s ParadiseWave-Packets and How Heisenberg’s Quantum Uncertainty Principle Emerges From the Fourier TransformBy studying localised wave-functions, or wave-packets, we can directly derive Heisenberg’s famous quantum uncertainty relation.·8 min read·Jan 25, 2023--4--4
Dan JacksonThe Mathematics of Quantum Teleportation ExplainedThe mathematics behind how the quantum state of a particle can be ‘transferred’ to a distant particle using quantum entanglement.·10 min read·Jan 18, 2023--1--1