Notes
About
I collected and summarized several notes from physics and mathematics courses during my undergraduate learning period. Most of them are referred to famous textbooks and lecture notes of online open courses. Unfortunately, most of the notes are handwritten and maybe I will rebuild them into $\LaTeX$ versions.
Selected topics
Direct/Super exchange interaction and ISWAP gating
SE-Interaction and ISWAP gate (Last Update 12/09/2022)
Displaced Fock State
Displaced Fock State (Last Update 12/09/2022)
Winger, Spherical Tensor
Winger, Spherical Tensor (Last Update 09/26/2023)
Quantum Optics
Introduction to Quantum Optics (Last Update 12/09/2022)
AMO physics
Atomic Optics (Last Update 09/26/2023) Atomic Optics (Last Update 09/26/2023)
Classical Mechanics
SPUM101
Lecture 1: Hamilton principle, Lagrangian Mechanics.
Lecture 2: Conservation Law, momentum.
Lecture 3: Integration of the equation of motion, angular momentum.
Lecture 4: Small oscillation, harmonic approximation, Forced oscillation, damped oscillation.
Lecture 5: Forced oscillation under frictions, dissipative function.
Lecture 6: Rigid body dynamics, rotating frame.
Lecture 7: Gauge invariance of Lagrangian, Hamiltonian mechanics.
Lecture 8: From Hamiltonian mechanics to classical statistical mechanics.
The Variational Principle of Mechanics
Classical Electrodynamics
EM_notes (277 MB, Last Update 8/9/2022)
Quantum Mechanics
Quantum Mecahnics I
Quantum Mechanics II
- QM_II: Quantum dynamics, angular momentum. (176 MB)
Quantum Mechanics III
- QM_III: Applications, approximation methods, scattering. (395 MB)
Relativistic Quantum Mechanics
- Relativistic Quantum Mechanics: Dirac Equation
Abstract Algebra
AA_notes (29.9 MB, Last Update 5/10/2022)
Solid State Physics
Pending…
Mathematical Methods in Physics
TBC.
Thermodynamics and Statistical Mechanics
TBC.
Jiheng Duan 段繼恆
First year PhD student
My research interests include superconducting quantum computing, high fidelity two-qubit gate, and distortion correction of digital signals.