Unformatted text preview: b) Find the exact energy eigenstates and expand them in a power series in C . Compare the results with those in part (a). 3. This problem concerns the so called Stark eﬀect. A hydrogen atom is placed in a constant electric ﬁeld in the positive zdirection. The perturbation is given by H 1 = e  E  z , where  E  is the magnitude of the electric ﬁeld and e is the electric charge of the electron. The electric ﬁeld is suﬃciently strong that the relativistic and spinorbit eﬀects can be neglected. Use the degenerate state perturbation theory to determine the ﬁrst order changes in energy eigenvalues of the n = 2 states. What are the corresponding new eigenfunctions?...
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 '08
 ELSER, V
 mechanics, Work, Fundamental physics concepts, Perturbation theory, dr r2 ρN, degenerate state perturbation

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