Here is a listing of my mathematica notebooks. The most recent of any of these notebooks can all be obtained from my github Mathematica repository.
The Wolfram CDF player can also be used to view a number of these notebooks after download.
phy2403 Hw1 problem 2(d). Phonon energy density. Ratio of the phonon energy density to the rest-mass energy density (in hardwood).
This is a check (up to the 7th derivative) that shows that the massive field wipes out the odd derivatives that contribute to the Euler-Maclaurin sum used to calculate the magnitude of the Casimir effect. Hw1 problem V.
Hw1 problem V. part 7 (g). comparative force: \( 1 \mu F \) capacitor with 1V charge.
Manipulate and figures for the Mexican hat potential.
This is plots for Lecture 10: constantMomentumSurfaceFig2, constantMomentumSurfaceFig1 (paraboloids vs. light cone).
Hw2 Problem II.1, explicitly write our the \(U_L\) matrix, and related expansions.
This is a plot for Lecture 11. spaceLikeAndLightConeFig1
Calculate the product of \( (\Bp \cdot \Bsigma)(\Bp \cdot \Bsigma)\), and then take the trace of that.
Plot: RiemannLebesqueFig1. A gaussian envelope high frequency oscillation.
Is the trace of the product of a Hermitian and a Pauli vector zero? No. Ends up kind of dot product like.
Hw2 Problem I.2. Bessel function result for the final integral after the branch cut manipulation.
Attempt to explicitly evaluate the Wightman function. Did not converge.
An attempt to use the NCAlgebra package (non-commutative algebra) to calculate the commutators of the charge operators for the Left and Right currents of Hw2 problem II.6. Did not work.
Post to Mathematica SE. How to get FullSimplify to act on scalars (-1, 0, 1, ...) that are multiplied by potentially non-commutative symbols (operators, block matrices, ...)?
Figure for momentum.tex : sortOfSincFunctionFig1
Appendix for Hw3, III.2. Relevant integrals.
Hw3 problem I. Yukawa integral.
Figure: ps3p1TRFig1. Plots \(T e^{-R}/R \) for \( T \sim R, T \gg R \)
Eigenvalues of \( i \Bsigma \cdot \Bx\)
Explicit 4x4 expansion of the Dirac matrices using the Weyl representation, and verification of some identities.
Numeric calculations for Hw4 Problem 2. hw4p2MathematicaFig1
Define Dirac Matrices (in the Weyl representation). Calculate \( \sqrt{p \cdot \sigma}, \sqrt{p \cdot \osigma}\), square roots of 2x2 matrices, and representations of u, v spinors.
A less experimental version of squarerootOfFourSigmaDotP.nb, that uses the results obtained from that code without actually taking the roots using the Eigensystem solution. Defines: DiracMatrix (Weyl representation); complex -- allow for less general complex numbers, instead of: a + I b, complex[a, b] always formed from real a, b.; diracMatrix (using complex instead of Complex); pauliMatrix (using complex instead of Complex); u, v, and square roots of p . sigma's
Traces of two, three, four Dirac matrix products.