Normalized function and minimum energy

1. Jun 2, 2009

satach

<Ψ|$$H\overline{^}$$|Ψ>$$\geq$$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. Jun 2, 2009

dx

Have you tried using the hint? What did you get after writing |ψ> in the energy basis?

3. Jun 2, 2009

satach

no, i didn't try , because i don't know how to start :D

4. Jun 2, 2009

dx

Do you know what an eingenstate is?

5. Jun 2, 2009

satach

in polish language is sometnihg like : expand |Ψ> in base of self functions of H ...