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: Kinetic Energy operator is hermitian

  1. Sep 25, 2013 #1
    The problem asks to show that the kinetic energy operator is Hermitian.



    The operator is given as T= -h^2/2mΔ but I know I can also write it as p^2/2m which would be

    (- ih∇)(-ih∇). My main question is if I can prove this in 1-D so that T=(-h^2/2m)d^2/dx^2
    does that generalize to 3-d? Is it proven in 3 dimensions then? If not I'm not sure where to even begin in 3D
     
  2. jcsd
  3. Sep 26, 2013 #2

    UltrafastPED

    User Avatar
    Science Advisor
    Gold Member

    See this set of notes on Hermitian operators: http://faraday.uwyo.edu/~yurid/QM/Lecture%208.pdf [Broken]
     
    Last edited by a moderator: May 6, 2017
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted