Expectation Values of and

It is important to realize that we can just use the definition of to write and in terms of the raising and lowering operators.

This will allow for any computation.

* Example:
The expectation value of for any energy eigenstate is zero.*

* Example:
The expectation value of for any energy eigenstate is zero.*

* Example:
The expectation value of in the state
.*

* Example:
The expectation value of
for any energy eigenstate
is
.*

* Example:
The expectation value of for any energy eigenstate
is
.*

* Example:
The expectation value of as a function of time for the state
is
.*

Jim Branson 2013-04-22