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# Quantum Harmonic Oscillator and Normalizing a Wave Function

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Hi, I've attached the problem as a Picture. I've learned a lot from the help I have received here on Brainmass, and I'm going to try doing this one on myself and hopefully I'll do it right. Thank you for your help!

Consider a simple harmonic oscillator with an angular frequency w. Suppose at t=0 it is in a state given by: (see attachment for equation)
a. Find the normalization constant N
b. What are the possible outcomes of an energy measurement? What are the probabilities associated with each of these outcomes?
c. How does this state evolve in time? In other words find v,t>
d. Find < x > (t) and <p> (t), i.e. find how the average position and momentum changes as a function of time.

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Yinon

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Â© BrainMass Inc. brainmass.com December 24, 2021, 11:43 pm ad1c9bdddf>
https://brainmass.com/physics/quantum-physics/quantum-harmonic-oscillator-normalizing-wave-function-596450