Zhaose’s Physics Notes
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Filter Events by BDT for Higgs in LHC
physics
experiment
This is the final project of the subatomic physics online course hosted by MIT which I’ve attended this term. An easy but somehow interesting project. It’s basically the…
Jan 31, 2026
Zhaose
Simulating Harmonic Oscillator on a Lattice
physics
computational
path-integral
QM
For a harmonic oscillator, the lagrangian can be written as:
L = \frac{1}{2} m \dot{x}^2 - \frac{1}{2} m \omega^2 x^2
The two-point correlation function then, is
D_q(t_1…
Jan 18, 2026
Zhaose
Gravity With Portal
physics
computational
classical
fun
Recently, I saw this interesting youtube video, at the first glance, I realized it is just solving the classical gravitational equation maybe under a specific boundary…
Dec 16, 2025
Zhaose
Axion-photon Compton Scattering
physics
QFT
The effective axion-photon lagrangian can be written as:
\mathcal{L}_{\alpha\gamma} = (\frac{1}{2} \partial_\mu a \, \partial^\mu a - \frac{1}{2}m^2 a^2) + (-\frac{1}{4}…
Nov 29, 2025
Zhaose
Renormalization of scalar propagator in a toy model
physics
QFT
Consider a mass-full scalar field
\phi
coupling with a mass-less scalar field
\chi
, the toy model’s total Lagrangian can be written as:
\mathcal{L}_B = \partial_\mu \phi^*…
Oct 21, 2025
Zhaose
Born approximation from path integral
physics
QM
Born approximation is one of the most well-known perturbation method for calculating quantum scattering processes in quantum mechanics. The transition matrix can be written…
Jul 31, 2025
Zhaose
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