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Ladder Operators and the SHO -- yes, from Quiz II

Background: In this problem you will use the raising and lowering operators, which came naturally in lecture from the self-transform properties of the pure energy states of the SHO, to find the pure energy states and associated energies of the SHO directly without any complicated power series solutions or messy Gaussian normalization integrals! The ``raising'' and ``lowering'' operators are defined respectively through

with defined as





Prof. Tomas Alberto Arias
Tue Apr 30 08:11:46 EDT 1996