a) Find (r) and (r2) for an electron in the ground state of hydrogen, Express your answers in terms of the Bohr radius. b) Find (x) and (x2) for an electron in the ground state of hydrogen. Hint: This requires no new integration-note that r2 = symmetry of the ground state. x? + y? + ?, and exploit the (c) Find (x2) in the state n = 2, l = 1, m = 1. Warning: This state is not symmetrical inx, y, z. Use x =r sin 9 cos o.

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Problem 4.13
(a) Find (r) and (r2) for an electron in the ground state of hydrogen, Express
your answers in terms of the Bohr radius.
(b) Find (x) and (x2) for an electron in the ground state of hydrogen. Hint: This
requires no new integration-note that r2 = x?+y? + , and exploit the
symmetry of the ground state.
(c) Find (x2) in the state n
symmetrical in x, y, z. Use x =r sin 9 cos o.
= 2, 1 = 1, m = 1. Warning: This state is not
Transcribed Image Text:Problem 4.13 (a) Find (r) and (r2) for an electron in the ground state of hydrogen, Express your answers in terms of the Bohr radius. (b) Find (x) and (x2) for an electron in the ground state of hydrogen. Hint: This requires no new integration-note that r2 = x?+y? + , and exploit the symmetry of the ground state. (c) Find (x2) in the state n symmetrical in x, y, z. Use x =r sin 9 cos o. = 2, 1 = 1, m = 1. Warning: This state is not
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