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Normalized function and minimum energy

  1. Jun 2, 2009 #1
    please prove this:

    <Ψ|[tex]H\overline{^}[/tex]|Ψ>[tex]\geq[/tex]E0
    function |Ψ> is normalized.

    prompt: (expand function |Ψ> in the eigenbasis of H operator, count average and use ortonormality of the H base)

    exercise 5.2.2 , p.163 , "principles of quantum mechanics" Shankar
     
    Last edited: Jun 2, 2009
  2. jcsd
  3. Jun 2, 2009 #2

    dx

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    Have you tried using the hint? What did you get after writing |ψ> in the energy basis?
     
  4. Jun 2, 2009 #3
    no, i didn't try , because i don't know how to start :D
     
  5. Jun 2, 2009 #4

    dx

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    Do you know what an eingenstate is?
     
  6. Jun 2, 2009 #5
    in polish language is sometnihg like : expand |Ψ> in base of self functions of H ...
     
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