En = n²x²+² 2m l² momentum expectation value for this particle. TT • Find the momentuma eigenvalues and

Q: Find the expectation value of the momentum for the particle in the state, W(x, ) = Ae'lx- wt)

A: Given that  ψx,t=Aeikx-ωtψ*x,t=A-ikx-wt ∫ψ*ψ dx =∫Ae-ikx-wtAeikx-ωtdx A2∫dx =1 p=∫-∞∞ ψ*x,t h2πid…

Q: Show that ugr correctly represents the velocity of the particle both relativistically and…

A: For non-relativistic case: ugr=dEdp=ddpp22m                    ∵E=p22m=2p2m=pmugr=v Therefore, in…

Q: Q3: Find the eigenvalues and the eigenstates of Sy

A: The eigenstates are : Sy|ψ>=λ|ψ>   1The matrix Sy=h20-ii0let the eigen state be, xyFrom…

Q: Suppose a duck lives in a universe in which h=2πJ⋅s h=2πJ⋅s. The duck has a mass of 2.00 kg and is…

A: uncertainty in position is given by  ∆p∆x=h4πm∆v∆x=h4π=2πJs4π∆x=12m∆xJs∆x=0.25ms-1

Q: hd Px 5. Evaluate the following commutators: (Remember that i dx ). (a) [x.y] (b) [x.px] (c) [px.pyl

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Q: in quantum mechanics ; calculate the eigenvalue of these operators L2 , Lz when l equal to 6 ?

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Q: Consider a particle of mass m confined in a three-dimensional cube of length L so small that the…

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Q: Q 2(a)The E* particle has a rest energy of 1385 MeV and a lifetime of 2.0 x 10-23 s. What would be a…

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