Skip to content

Category Archives: Generating Functions

Generating Functions: Part 3. Lucky Tickets.

This post continues the series on Generating Functions. The first installment was discussing the problem about changing dollar into coins. The second post was about degeneracy of energy levels in central field in quantum mechanics. The connection between previous and current problems is not too difficult to see yet the method of generating functions applied to […]

Generating Functions. Part 2. Degeneration of Energy Levels in Central Field.

Seemingly intimidating task of calculating degeneration of energy levels for quantum particle in central field can be solved easily with generating function.

Generating Functions: Part 1. Changing Dollar.

What’s common between changing dollar into coins, counting “lucky tickets” and degeneracy of the energy levels of quantum harmonic oscillator in 3D? All of these subjects can be approached with generating function technique.