SOLVED:The harmonic oscillator of Problem 10.1 is perturbed by δH=ϵx. Show that the perturbed Hamiltonian can be written H=(1)/(2 m)(p^2 m^2 ω^2 X^2-(ϵ^2)/(ω^2)) where X=x ϵ/ m ω^2 and hence deduce the exact change in the groundstate energy. Interpret these results physically. What value does first-order perturbation theory give? From perturbation theory determine the coefficient b1 of the unperturbed first-excited state in the perturbed ground state. Discuss your result in relation to the exact
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