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Problem 1:
Simple Harmonic oscillator
(a) Find the expectation value of kinetic energy T for the nth state of a simple harmonic oscillator.
(b) Write p² in terms of a+ and a_
(c) Construct 2 from o state. Vo is given in equation (2.60). Use a+ operators
(d) Find < x >,< x² >,<p>,<p² >, σx and σy for state 2 found in part (c). Check if the uncer-
tainty principle works for this state.

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