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