Hermitian Conjugate of
We wish to compute the Hermitian conjugate of the operator
.
We will use the integral to derive the result.
We can integrate this by parts, differentiating the
and integrating to get
.
So the Hermitian conjugate of
is
.
Note that the Hermitian conjugate of the momentum operator is
which is the same as the original operator.
So the momentum operator is Hermitian.
Jim Branson
2013-04-22