Consider a hydrogenoid atom perturbed by a decaying exponential potential (lambda hat{H}_{1}=lambda e^{-mu r}). Calculate the first-order

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Consider a hydrogenoid atom perturbed by a decaying exponential potential \(\lambda \hat{H}_{1}=\lambda e^{-\mu r}\). Calculate the first-order perturbation theory corrections to the energy and ground state wave function.

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