A particle of mass m in the harmonic oscillator potential (Equation 2.44) starts out in the state

for some constant A.

(a) Determine A and the coefficients C_n in the expansion of this state in terms of the stationary states of the harmonic oscillator.
(b) In a measurement of the particle’s energy, what results could you get, and what are their probabilities? What is the expectation value of the energy?
(c) At a later time T the wave function is

for some constant B. What is the smallest possible value of T?

Transcribed Image Text:

器 PICO e -X mw ^2-1) v = (0) ²3 ) A