Consider a linear harmonic oscillator and let vo and i be its real, nor- malized ground and first excited state energy eigenfunctions respectively. Let Avo + Bvi with A and B real numbers be the wave function of the oscillator at some instant of time. Show that the average value of r is in general different froim zero. What valucs of A and B maximize (x) and what values minimize it?
Consider a linear harmonic oscillator and let vo and i be its real, nor- malized ground and first excited state energy eigenfunctions respectively. Let Avo + Bvi with A and B real numbers be the wave function of the oscillator at some instant of time. Show that the average value of r is in general different froim zero. What valucs of A and B maximize (x) and what values minimize it?
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Transcribed Image Text:Consider a linear harmonic oscillator and let vo and i be its real, nor-
malized ground and first excited state energy eigenfunctions respectively.
Let Avo + Bvi with A and B real numbers be the wave function of the
oscillator at some instant of time. Show that the average value of r is in
general different froim zero. What valucs of A and B maximize (x) and
what values minimize it?
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