A particle of mass m moves in a potential V(x)=kx²/2. a. If the particle has energy E, determine the range of x in which a classical particle can move. b. Determine the probability of finding the particle outside of the classical limits for the ground state. Assume that the ground state wavefunction is (x) and you can leave your answer in terms of a definite integral.

A particle of mass m moves in a potential V(x)=kx²/2. a. If the particle has energy E, determine the range of x in which a classical particle can move. b. Determine the probability of finding the particle outside of the classical limits for the ground state. Assume that the ground state wavefunction is (x) and you can leave your answer in terms of a definite integral.