Consider a harmonic oscillator with Hamiltonian given by ?=(p^2/2m)+(1/2)X^2 = (a+)(a-)+(1/2) The current system state is...
Consider a harmonic oscillator with Hamiltonian given by ?=(p^2/2m)+(1/2)X^2 = (a+)(a-)+(1/2)
The current system state is the superposition of the lowest and next-to-lowest energy eigenstates that gives the most negative possible value for the average position, use raising and lowering operators to derive the average momentum for this state.
then, simplify using ħ = ? = 1
Homework Answers
![H = 2 P 2m + p=ijn 2 1 2 = (ata + 1) <p> = (n/Pln+1) nhw (ata) c nhw (nlat-a/n+1) - domku { <nla lnt) - <n/aIn+1)] in Int2/n](http://img.homeworklib.com/questions/0ddb6270-f465-11ea-8431-972c9cb8c05a.png?x-oss-process=image/resize,w_560)
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Consider a harmonic oscillator with Hamiltonian given by
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