Archive of posts in 2025

• Apr 11, 2025

  Eigenfunctions of the Laplacian on an annulus with homogeneous Neumann boundary condition

  Several features of the eigenfunctions of the Laplacian on an annulus with homogeneous Neumann boundary condition are discussed. The distribution of the eigenvalues is discussed in detail, making use of a phase angle function called $\tht$. The limiting cases of a disk and a circle are discussed.

  • Categories: math
  • Tags: mathematical physics, pde, ode, long paper
• Mar 3, 2025

  The role of particle indistinguishability in statistical mechanics

  Indistinguishability plays an important role in enumerative problems in combinatorics. This article explains the concept and significance of particle indistinguishability in statistical mechanics.

  • Categories: physics
  • Tags: mathematical physics, statistical mechanics, probability, long paper, combinatorics, quantum mechanics
• Jan 9, 2025

  Why it is a bad idea to use GitHub for submiting school homework

  It is common for school courses to require students to submit their homework using GitHub. However, this is usually a bad idea for several reasons.

  • Categories: misc
  • Tags: programming, github, school