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

Degenreate states

  1. Oct 15, 2003 #1
    would someone mind explaining why, in general, degenerate (quantum) states are not orthogonal?
  2. jcsd
  3. Oct 16, 2003 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Degenerate states form a whole subspace. The linear superposition of two degenerate states is again a state with the same eigenvalue. So your question is equivalent to:
    can someone explain me why all vectors aren't orthogonal ?

    However, it is always possible to choose an orthogonal basis in this subspace, and those eigenvectors ARE orthogonal.

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Degenreate states
  1. Degenrate fermi gas (Replies: 3)

  2. Spin States (Replies: 9)

  3. Pointer states (Replies: 4)

  4. Preparing the state (Replies: 38)