a. Calculate the expectation value of the momentum of a proton in the n = 3 level of a one-dimensional infinite square well of width L = 0.1 nm. Give answer in eV/c. b. Calculate the expectation value of the kinetic energy of this particle. Give answer in eV.
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1 nm. Given: Width of the well, L = 0.1 nm n = 3 Using the formula for the wave function in an infinite square well: ψn(x) = √(2/L) * sin(nπx/L) For n=3: ψ3(x) = √(2/0.1) * sin(3πx/0.1) ψ3(x) = √20 * sin(30πx) The expectation value of momentum is given by: <p> Show more…
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