For an 1-d harmonic oscillator whose hamiltonian is h- 2m if two given by hln> = hwo (n+ )ln > ., eigenvalues and eigenstates are 1 > +12> 1 2> v2 eigenstates of operator a an are alod> = az 16> where a lof> = a, l6 (20) , what's the probability to measure energy 1) if the state at t=0 is 0 ei at time t (> 0)? (10) 2) for lo> ,0 = lø4> , what's the probability to measure a at time t?

no. dot product   =0 when vecs at right angles

it doesn't. it was imagined up in the middle ages.

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