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## Homework Statement

A unitary operator U has the property

U(U+)=(U+)U=I [where U+ is U dagger and I is the identity operator]

Prove that the eigenvalues of a unitary operator are of the form e^i(a) with a being real.

NB: I haven't been taught dirac notation yet. Is there a way i can do this without it?

## Homework Equations

U(U+)=(U+)U=I [where U+ is U dagger and I is the identity operator]

## The Attempt at a Solution

Assume eigenvalues exist

U(a)=x(a) => (U+)U(a)=(U+)x(a) => (a)=(U+)x(a)??