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(Solved): (x,0)=A(2^2-1)(1+)exp(-^2/2), where =(m/)^1/2 x. a) Using Table 2.1 and the definitio ...



Ψ(x,0)=A(2ζ^2-1)(1+ζ)exp(-ζ^2/2), where ζ =(mω/ħ)^1/2 x. a) Using Table 2.1 and the definition of the harmonic oscillator wave functions given in section 2.3.2, rewrite the wave function above as a linear combination of normalized eigenfunctions for this potential (as you did in problem 1). Then, determine A and state which energies can be measured and with what probabilities. b)Find and as functions of time Table 2.1 H0=1, H1=2ζ, H2=4ζ^2, H3=8ζ^3-12ζ,H4=16ζ^4-48ζ^3+12,H5=32ζ^5-160ζ^3+120ζ



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