- #1
Niles
- 1,866
- 0
Homework Statement
Hi
Say I have the following number:
[tex]
\left\langle {\psi _i |A|\psi _j } \right\rangle
[/tex]
1) First of all, am I correct when saying that
[tex]
\left\langle {\psi _i |A|\psi _j } \right\rangle = \left\langle {\psi _j |A^\dag |\psi _i } \right\rangle ^*
[/tex]
where the asterix denotes complex conjugation and the dagger means Hermitian conjugate?
2) Since what we are dealing with above is just scalars, then I am correct when I say the following is true, right?
[tex]
\left\langle {\psi _j |A^\dag |\psi _i } \right\rangle \left\langle {\psi _i |A|\psi _j } \right\rangle = \left\langle {\psi _i |A|\psi _j } \right\rangle \left\langle {\psi _j |A^\dag |\psi _i } \right\rangle
[/tex]
Niles.