The one-dimensional harmonic oscillator Eq. (4.62) is subject to an electric field F which produces an extra

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The one-dimensional harmonic oscillator Eq. (4.62) is subject to an electric field F which produces an extra term qFx in the Hamiltonian. Calculate the new wavefunctions and energy levels using the zero field solutions. How does the field affect the symmetry of the charge distribution in the ground state?

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