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Using the properties you showed in 2.1, show
that if is a pure state of energy of energy E, then 1)
is a pure state of energy
and 2) is a pure state of energy .
Background: This energy ``raising'' and ``lowering'' properties of the
and operators explains the origin of their names.
Prof. Tomas Alberto Arias
Tue Apr 30 08:11:46 EDT 1996