Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Counting Degeneracy

  1. Dec 11, 2015 #1
    So I'm trying to figure out the best way to count the degeneracy of states for a 3-d particle in a box. The problem breaks into the following: we have three integers greater than or equal to unity whose values are allowed to vary independently, and the sum of whose squares equals a fourth integer.

    a2 + b2 + c2 = x

    It is required to find the allowed values of the fourth integer x, and the number of combinations of the first three integers (a, b, and c) able to produce each allowed fourth integer.

    At present the only method of solution I am aware of is just listing out the possibilities and counting by brute force, but I know there must be a better way. Any thoughts?

    Thanks in advance.
     
  2. jcsd
  3. Dec 11, 2015 #2

    PeroK

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    https://www.oeis.org/A025427
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Counting Degeneracy
  1. Degeneracy Parameter A (Replies: 2)

  2. Degeneracy factor (Replies: 11)

  3. What is degeneracy (Replies: 7)

  4. Degeneracy important (Replies: 8)

Loading...