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    Perturbation Theory

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    A particle of mass m is in the ground state in the harmonic oscillator potential

    V(x) = (1/2)Kx^2

    A small perturbation (beta)x^6 is added to this potential.
    a) What are the units of beta?
    b) How small must beta be in order for perturbation theory to be valid?
    c) Calculate the first-order change in the energy of the particle.

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    Solution Summary

    This solution helps with a perturbation theory problem.