Essays & Writings
Canonical vs Path Integral Quantization
A comparison of canonical operator quantisation and Feynman's path integral formalism, featuring derivations and pragmatic trade-offs.
Black Hole Thermodynamics
A brief survey of the four laws of black hole mechanics, Bekenstein–Hawking entropy, and Hawking radiation.
Quantum Harmonic Ensemble
Deriving the partition function for a canonical ensemble of quantum harmonic oscillators across energy, position, and momentum representations.
Neutrino Mass & Oscillations
Review of experimental evidence for neutrino flavour oscillations, mass models, and mixing formalism.
Action Principle in Electrodynamics
Deriving Maxwell’s equations in vacuum from a relativistic Lagrangian, discussing gauge freedom and Noether currents.
Polarised Deuteron Breakup
Investigating polarised-deuteron scattering observables and polarimeter design to probe nuclear symmetry energy.
Complex Scalar Klein-Gordon Field
Derivation of canonical momenta and commutation relations for a complex Klein–Gordon field.