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We calculate the ground state expectation values



(257) 
This integral is evaluated using



(258) 
(integration by differentiation). Therefore,



(259) 
Similarily,



(260) 
Using this, we can calculate the expectation value of the potential and the kinetic
energy in the ground state,
Note that we have
(Virial theorem).
Next: Ladder Operators, Phonons and
Up: The Harmonic Oscillator II
Previous: Infinite Well Energies
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Tobias Brandes
20040204