Documents
Mathematica notebooks, problem sets, and academic documents spanning integrable models, general relativity, and theoretical physics coursework.
Integrability Documents
Defect Sum
Give a twist function and the code will calculate the zeros, poles, levels, and the defect sum.
SU(2) η-Deformed ℤ₂-Twisted η-Model
For given SU(2) generators, a general field element of SU(2), R-matrix that satisfies the modified classical Yang-Baxter equation, and ℤ₂ automorphism, the code computes the currents j=g⁻¹∂g, the Lax matrix, the Lagrangian, equations of motion, flatness of the Lax, and the metric and B-field.
SU(2) λ-Deformed ℤ₂-Twisted η-Model
For given SU(2) generators, a general field element of SU(2), R-matrix that satisfies the modified classical Yang-Baxter equation, and ℤ₂ automorphism, the code computes the currents j=g⁻¹∂g, the Lax matrix, the Lagrangian, equations of motion, flatness of the Lax, and the metric and B-field.
SU(2) η-Deformed ℤ₂-Twisted λ-Model
For given SU(2) generators, a general field element of SU(2), R-matrix that satisfies the modified classical Yang-Baxter equation, and ℤ₂ automorphism, the code computes the currents j=g⁻¹∂g, the Lax matrix, the Lagrangian, equations of motion, flatness of the Lax, and the metric and B-field.
SU(2) λ-Deformed ℤ₂-Twisted λ-Model
For given SU(2) generators, a general field element of SU(2), R-matrix that satisfies the modified classical Yang-Baxter equation, and ℤ₂ automorphism, the code computes the currents j=g⁻¹∂g, the Lax matrix, the Lagrangian, equations of motion, flatness of the Lax, and the metric and B-field.
General Relativity Documents
Metric
Give the dimension of the manifold, the coordinates, and the metric — the code calculates the inverse metric, Christoffel symbols, Riemann curvature tensor, Ricci tensor, scalar curvature, and Einstein tensor.
Lie Groups and Lie Algebras Documents
SU(N) Generators
Generators of the SU(N) Lie algebra in the fundamental representation, including the structure constants and the d-coefficients.
Academic Documents
Final Exam: Computational Physics
Final exam paper for the Computational Physics module.
Homework: Quantum Electrodynamics
Homework assignment for the Quantum Electrodynamics module.
Homework: Quantum Field Theory
Homework assignments for the Quantum Field Theory module, split into two parts.