A particle in the harmonic oscillator potential (of angular frequency w) starts out in the state v(x,0) where on (x) are the energy eigenstates of the harmonic oscillator. (a) Suppose you measured (x, 0) and obtained the energy measurment E = this system immediately after measurement? (b) Suppose immediately after (a) you leave the system alone, allowing it to evolve in the harmonic oscillator potential. What is (x, t) fort> 0? (1/2)hw. What is the state of

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Particle in the harmonic oscillator potential

A particle in the harmonic oscillator potential (of angular frequency w) starts out in the state
(x,0) =
where on (x) are the energy eigenstates of the harmonic oscillator.
(a) Suppose you measured (x, 0) and obtained the energy measurment E
this system immediately after measurement?
(b) Suppose immediately after (a) you leave the system alone, allowing it to evolve in the harmonic oscillator
potential. What is (x,t) for t > 0?
(1/2)hw. What is the state of
Transcribed Image Text:A particle in the harmonic oscillator potential (of angular frequency w) starts out in the state (x,0) = where on (x) are the energy eigenstates of the harmonic oscillator. (a) Suppose you measured (x, 0) and obtained the energy measurment E this system immediately after measurement? (b) Suppose immediately after (a) you leave the system alone, allowing it to evolve in the harmonic oscillator potential. What is (x,t) for t > 0? (1/2)hw. What is the state of
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