- #1

dyn

- 750

- 57

A theorem states that if V(

**x ,**t) ≥ V

_{0}then <E> is real and <E> ≥V

_{0}for any normalizable state. The proof contains the following line

<E> = (ħ

^{2}/2m)∫∇ψ

^{*}∇ψ d

^{3}x + ∫ Vψ

^{*}ψ d

^{3}x ≥ ∫ V

_{0}ψ

^{*}ψ

Can anybody explain why that inequality is true ?

Thanks