Manfra21-2011

Manfra21-2011 - CHAPTER 7 The Hydrogen Atom 7.1 Application...

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7.1 Application of the Schrödinger Equation to the Hydrogen Atom 7.2 Solution of the Schrödinger Equation for Hydrogen 7.3 Quantum Numbers 7.4 Magnetic Effects on Atomic Spectra–The Zeeman Effect 7.5 Intrinsic Spin 7.6 Energy Levels and Electron Probabilities CHAPTER 7 The Hydrogen Atom The Hydrogen Atom Reminders: Review session this Wednesday the 23 rd and 2 nd exam on Friday the 25 th . Werner Heisenberg (1901-1976)
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7.3: Quantum Numbers The three quantum numbers: n : Principal quantum number : Orbital angular momentum quantum number m : Magnetic (azimuthal) quantum number The restrictions for the quantum numbers: n = 1, 2, 3, 4, . . . ℓ = 0, 1, 2, 3, . . . , n − 1 m = −ℓ, −ℓ + 1, . . . , 0, 1, . . . , ℓ − 1, ℓ Equivalently: n > 0 ℓ < n |m | ≤ ℓ The energy levels are:
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Hydrogen Atom Radial Wave Functions First few radial wave functions R n Sub- scripts on R specify the values of n and .
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Solution of the Angular and Azimuthal Equations The solutions to the azimuthal equation are:
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This note was uploaded on 04/23/2011 for the course PHYS 342 taught by Professor Staff during the Spring '08 term at Purdue.

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Manfra21-2011 - CHAPTER 7 The Hydrogen Atom 7.1 Application...

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