Fund Quantum Mechanics Lect & HW Solutions 60

Fund Quantum Mechanics Lect & HW Solutions 60 - nlm...

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42 CHAPTER 4. SINGLE-PARTICLE SYSTEMS is at least l ( l + 1)¯ h 2 l 2 ¯ h 2 = l ¯ h 2 . 4.1.4 Angular momentum uncertainty 4.2 The Hydrogen Atom 4.2.1 The Hamiltonian 4.2.2 Solution using separation of variables 4.2.2.1 Solution hydb-a Question: Use the tables for the radial wave functions and the spherical harmonics to write down the wave function
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Unformatted text preview: nlm = R nl ( r ) Y m l ( , ) for the case of the ground state 100 . Check that the state is normalized. Note: i e 2 u u 2 d u = 1 4 . Answer: The tables show that R 10 = 2 e r/a / r a 3 and that Y = 1 / 4 , so 100 = 1 r a 3 e r/a...
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This note was uploaded on 01/06/2012 for the course PHY 3604 taught by Professor Dr.danielarenas during the Fall '11 term at UNF.

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