1.What is the probability that the wavefunction is in the ground state|0> or 0(x) 2.What is the probability of measuring the energy as hw/2?

 

1.What is the probability that the wavefunction is in the ground state|0> or φ0(x)

2.What is the probability of measuring the energy as hw/2? (this is not the expectation value)

In the quantum harmonic oscillator, consider a wavefunction that is a superposition of eigenstates ) = C[(1+i) |0) +12)], or y(x) = C[(1+i)o(x) + (x)] where the oscillation frequency is w.