- #1
Observer Two
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Homework Statement
On Wikipedia there is an article about perturbation theory. To understand something I need to understand the following relation. They say:
Homework Equations
[itex]H |n> = E_n |n>[/itex]
So:
[itex]<n| H = <n| E_n[/itex]
H is Hermitian.
So: Why is this?
The Attempt at a Solution
I don't know if this is valid.
[itex](H \cdot |n>)^\dagger = (E_n \cdot |n>)^\dagger[/itex]
[itex]\Leftrightarrow[/itex]
[itex]<n| H^\dagger = <n| E_n^\dagger[/itex]
And since H is Hermitian and E_n is real, I get:
[itex]<n| H = <n| E_n[/itex]
Is this how things work?