A harmonic oscillator is in a state such that a measurement of the energy would yield either (1/2)ħw or (3/2)ħw, with equal probability. (a) Write down the properly normalized time-dependent wave function which describes this state. (b) Solve for the expectation value of position as a function of time, (x(t)). What is the largest possible value of (x(t)) in such a state?
A harmonic oscillator is in a state such that a measurement of the energy would yield either (1/2)ħw or (3/2)ħw, with equal probability. (a) Write down the properly normalized time-dependent wave function which describes this state. (b) Solve for the expectation value of position as a function of time, (x(t)). What is the largest possible value of (x(t)) in such a state?
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Transcribed Image Text:A harmonic oscillator is in a state such that a measurement of the energy would yield either (1/2)ħw or (3/2)ħw, with
equal probability.
(a) Write down the properly normalized time-dependent wave function which describes this state.
(b) Solve for the expectation value of position as a function of time, (x(t)). What is the largest possible value of
(x(t)) in such a state?
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