1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Eigenvalue question

  1. Nov 1, 2004 #1
    hi,
    if an operator O has the property that O^{4}f(x)=f(x), what are the eigenvalues of O? any hints on how to go about this?
     
  2. jcsd
  3. Nov 1, 2004 #2

    Galileo

    User Avatar
    Science Advisor
    Homework Helper

    Since [itex]O^4[/itex] is the identity, it has all eigenvalues one.
    If [itex]O[/itex] has an eigenvector f with eigenvalue [itex]\lambda[/itex], what can you tell about [itex]O^2[/itex]
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Eigenvalue question
Loading...