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!

Self-adjoint operator

  1. Sep 28, 2011 #1
    1. The problem statement, all variables and given/known data

    When is the following operator self-adjoint? I am looking for constraints on [itex]f_n[/itex]'s s.t. The operator below becomes self-adjoint.

    [itex]O:= \sum_{n=0}^4 f_n(x){d^n\over dx^n}[/itex] subjected to boundary conditions [itex]y(0)=y'(0)=y(1)=y'(1)=0[/itex] and where [itex]f_n[/itex]'s are real functions.

    Thanks.

    2. Relevant equations
    See above.


    3. The attempt at a solution
    Totally clueless. Please help.
     
  2. jcsd
  3. Sep 28, 2011 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Well, what is the definition of "self adjoint"? That would be a good place to start.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Self-adjoint operator
  1. Self Adjoint Operator (Replies: 9)

Loading...