Answer to Question #143106 in Physical Chemistry for Tom Wright

Question

Consider the harmonic oscillator model of vibrational motion, with V = ½k(x^2).
(i) Show that ψ = sin(πx / L) is not a valid wavefunction.
(ii) For each of the wavefunctions, ψ = e^-a(x^2) and ψ = xe^-a(x^2), find the value of a, and also the value of the energy (in terms of ħ, k and m). What energy levels do each of these
energies correspond to?

Answer 1

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