Let n (x) denote the orthonormal stationary states of a system corresponding to the energy En. Suppose that the normalized wave function of the system at time t = 0 is þ(x,0) and suppose that a measurement of the energy yields the value E1 with probability 1/2, E2 with probability 3/8, and E3 with probability 1/8. (a) Write the most general expansion for Þ(x,0) consistent with this information. (b) What is the expansion for the wave function of the system at time t, Þ(x, t)?
Let n (x) denote the orthonormal stationary states of a system corresponding to the energy En. Suppose that the normalized wave function of the system at time t = 0 is þ(x,0) and suppose that a measurement of the energy yields the value E1 with probability 1/2, E2 with probability 3/8, and E3 with probability 1/8. (a) Write the most general expansion for Þ(x,0) consistent with this information. (b) What is the expansion for the wave function of the system at time t, Þ(x, t)?
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Transcribed Image Text:Let n (x) denote the orthonormal stationary states of a system corresponding to the energy
En. Suppose that the normalized wave function of the system at time t = 0 is þ(x,0) and
suppose that a measurement of the energy yields the value E1 with probability 1/2, E2 with
probability 3/8, and E3 with probability 1/8.
(a) Write the most general expansion for Þ(x,0) consistent with this information.
(b) What is the expansion for the wave function of the system at time t, Þ(x, t)?
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