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consider a charged harmonic oscillator under a time independent electric field. The Hamiltonian of the system is H=((p^2)/2m)+(1/2)*m*(w^2)*(X^2)-q*e*X where q is the electric charge of
consider a charged harmonic oscillator under a time independent electric field. The Hamiltonian of the system is H=((p^2)/2m)+(1/2)*m*(w^2)*(X^2)-q*e*X where q is the electric charge of the oscillator and E the intensity of the electric field. Treating Hpert=-qEX as a perturbation, compute the first non-zero correction to the energy and quantum state of the ground state, and compare your result with the exact result
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