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In: Physics

1. Consider an electron in a 1D harmonic oscillator potential. Suppose the electron is in a...

1. Consider an electron in a 1D harmonic oscillator potential. Suppose the electron is in a state which is an equal mix of the ground state and the first-excited state.
a) Write the time-dependent state in Dirac notation.
b) Calculate 〈x〉. Calculate 〈p〉 using raising and lower operators.
c) Graph 〈x〉 as a function of time.

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