Question

please use the given psi(0) and psi(1) and go through the full working please

(a) Show by direct integration that both yo and yi are normalised. (b) By direct integration, calculate the expectation value of x in each of these two states: (c) Calculate the expectation value of momentum in each of these two states: (d) Show that both momentum and position are not well-defined in these two states i.e., wo and yi are not eigenfunctions of either the position or the momentum operator. [Use the explicit v(x) and the x and p operators to do this.] (e) Show that both ψ0 and un are eigenfunctions of the Hamiltonian and find the respective eigenvalues. [Use the explicit v(r) and the Hamiltonian to do this.] 0x2 2ћ x e

Answer 1

first four parts complete according to HomeworkLib policy.

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