1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: Simple question about eigenstates

  1. Oct 28, 2014 #1
    If an operator (O) acts on a function ψ and transforms the function in a scalar manner as described below, it is said to be in an eigenstate:
    in this case, O is the operator and k some scalar value.

    My question is essentially if k=0, can this still be a valid eigenstate?

    for example, O could be d2/dx2 and ψ could be 5x; would that be an eigenstate?
  2. jcsd
  3. Oct 28, 2014 #2


    User Avatar
    Science Advisor
    Homework Helper

    Sure it would. You can have eigenvectors with eigenvalue 0.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted