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Unformatted text preview: momentum and its zcomponent quantum numbers, respectively. 3. A hydrogen atom in an excited state decays to a lower energy state by emitting a photon via electric dipole or magnetic dipole transitions. The electric dipole transition depends on the matrix element v d = A n ′ l ′ m ′  vx  nlm a . (2) a) Use the WignerEckart theorem to write the matrix elements of v d as a product of a ClebschGordan coe±cient and a reduced matrix element. b) ²ind the reduced matrix element in terms of the radial wave functions R nl ( r ) for the initial and Fnal states deFned by A v r  nlm a = R nl ( r ) Y lm ( θ, φ ). (3) c) What are the selection rules for the matrix elements of v d ?...
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This note was uploaded on 03/27/2011 for the course PHYS 6572 at Cornell.
 '08
 ELSER, V
 mechanics, Work

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