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Angularmomentum

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Quantum Mechanics: The Hydrogen Atom

Quantum Mechanics: The Hydrogen Atom

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ANGULARMOMENTUM:DEPENDon"l" jLj = h p l(l+1) Lz component: DEPENDon"m" Lz = m h Total H atom wavefunctions are normalized and orthogonal: Z2ˇ 0 d˚ Zˇ 0 d sin Z1 0 drr2 nlm(r; ;˚) n 0 l0m0(r; ;˚) = nn0 l 0 mm0 LowesttotalHydrogen atom wavefunctions: n=1 andn=2 ( de ne ˙ Zr ao) Table 2. Hydrogen Atom Wavefunctions n l m nlm Orbital Name 1 0 ...

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