1. In class, we showed that the lowest order Stark effect for the n = 2 level of hydrogen can be obtained by diagonalizi
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1. In class, we showed that the lowest order Stark effect for the n = 2 level of hydrogen can be obtained by diagonalizi
1. In class, we showed that the lowest order Stark effect for the n = 2 level of hydrogen can be obtained by diagonalizing the 4 x 4 matrix with matrix clements (21mZ/21'm'). In this problem you will compute these matrix elements. = (a) Using symmetry or other techniques, show that all of these matrix clements vanish except for (210|2|200) = (200|2|210)* (b) Show that (210 Z200) 3a, where do = hº/me is the Bohr radius. (Hint: For both (a) and (b), you may want to use the fact that the spherical harmonics Y and Y; obey Y, Y).
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