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Homework Help: 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.


    2. Relevant equations
    See above.

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


    User Avatar
    Science Advisor

    Well, what is the definition of "self adjoint"? That would be a good place to start.
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