- #1

dingo_d

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## Homework Statement

Show that any linear operator [tex]\hat{O}[/tex] can be decomposed as [tex]\hat{O}=\hat{O}'+i\hat{O}''[/tex], where [tex]\hat{O}'[/tex] and [tex]\hat{O}''[/tex] are Hermitian operators.

## Homework Equations

Operator is Hermitian if:

[tex]T=T^{\dagger}[/tex]

## The Attempt at a Solution

I don't know where to start :\ Should I try to see for some arbitrary vector [tex]|\psi\rangle[/tex], that I can write it in some basis, and see what it would do to write eigenvalue equation with those operators?