(a) Find ψ(x, t) and P(En) at t > 0 for a particle in a one-dimensional...
(a) Find ψ(x, t) and P(En) at t > 0 for a particle in a one-dimensional infinite potential well with walls at x = 0 and x = a, for the following initial state.
ii. ψ(x, 0) = A(exp(iπ(x − a)/a) − 1)
(b) If measurement of E at 5s, finds that E = 4π^2 h(bar)^ 2 /(2ma^2 ), what is ψ(x, t) at t > 5s for the initial state?
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(a) Find ψ(x, t) and P(En) at t > 0 for a particle in a
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Consider a particle confined in two-dimensional box with infinite walls at x 0, L;y 0, L. the doubly degenerate eigenstates are: Ιψη, p (x,y))-2sinnLx sinpry for 0 < x, y < L elsewhere and their eigenenergies are: n + p, n, p where n, p-1,2, 3,.... Calculate the energy of the first excited state up to the first order in perturbation theory due to the addition of: 2 2
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