Consider the case of atomic hydrogen placed in an uniform electric field. The shifts in the energy levels is known as the Stark effect. Taking the field to be E = E,k, the perturbing Hamiltonian is given by H1 = eEor cos 0 (a) Determine the first-order correction to the energy of the first excited state (n = 2). Ignore the fine- structure correction. (b) Determine the eigenstates corresponding to the energy eigenvalues found in (a) above.
Consider the case of atomic hydrogen placed in an uniform electric field. The shifts in the energy levels is known as the Stark effect. Taking the field to be E = E,k, the perturbing Hamiltonian is given by H1 = eEor cos 0 (a) Determine the first-order correction to the energy of the first excited state (n = 2). Ignore the fine- structure correction. (b) Determine the eigenstates corresponding to the energy eigenvalues found in (a) above.
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Transcribed Image Text:Consider the case of atomic hydrogen placed in an uniform electric field. The shifts in the energy levels is
known as the Stark effect. Taking the field to be E = E,k, the perturbing Hamiltonian is given by
H1 = eE0z = eEor cos 0
(a) Determine the first-order correction to the energy of the first excited state (n
= 2). Ignore the fine-
structure correction.
(b) Determine the eigenstates corresponding to the energy eigenvalues found in (a) above.
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