Quantum
Mechanics and Spectroscopy
Lectures
PART I Quantum Mechanics: Formalism and Simple Examples
Mechanical Systems, an Overview
Classical Simple Harmonic Motion
Wave Mechanics of Massive Particles
Operators in Quantum Mechanics
The Free Particle
Bound Motion in QM: The Particle in a Box
Nomenclature
Superposition and The Particle in a Box
Time Dependence and Superposition of Stationary
States
The Simple Harmonic Oscillator (SHO)
3-D Quantum Mechanics: Spacial Degeneracy and the 3-D
SHO
Exam #1
QM without Differential Equations: The
SHO via an Operator Algebra Method
The Hydrogen Atom: Bohr Theory
Spherical Solutions to the Schroedinger's Equation
for a One-Electron Atom
Rigid Rotation in 2 and 3 Dimensions: Spherical
Harmonics
The Complete Hydrogen Atom
Approximate Methods in QM
The Many Electron Atom (approximately, of course)
Mechanical Systems, an Overview
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2 | Page 3 | Page
4 | Page 5 | Page
6 | Page 7 | Page
8 | Page 9
Classical Simple Harmonic Motion
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2 | Page 3 | Page
4 | Page 5 | Page
6
Wave Mechanics of Massive
Particles
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2 | Page 3 | Page
4 | Page 5 | Page
6 | Page 7 | Page
8
Operators in Quantum Mechanics
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2 | Page 3 | Page
4 | Page 5 | Page
6 | Page 7 | Page
8
The Free Particle
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2| Page 3| Page
4 |Page 5 | Page
6 | Page 7
Bound Motion in QM: The Particle
in a Box
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2 | Page 3 | Page
4 | Page 5 | Page
6 | Page 7
Nomenclature
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2 | Page 3 | Page
4 | Page 5 | Page
6 | Page 7 | Page
8 | Page 9
Superposition and The Particle
in a Box
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2 | Page 3 | Page
4 | Page 5 | Page
6 | Summary
Time Dependence and Superposition
of Stationary States
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2 | Page 3 | Page
4 | Page 5 | Page
6 | Page 7 | Page
8 | Page 9 | Page
10 | Page 11
| Summary
The Simple Harmonic Oscillator (SHO)
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2 | Page 3 | Page
4 | Page 5 | Page
6 | Page 7 | Page
8 | Page 9 | Page
10 | Page 11
3-D Quantum Mechanics: Spacial Degeneracy
and the 3-D SHO
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2 | Page 3 | Page
4 | Page 5 | Page
6 | Page 7 | Page
8 | Page 9 | Page
10 | Page 11
The Hydrogen Atom: Bohr Theory
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2 | Page 3 | Page
4 | Page 5 | Page
6
Spherical Solutions to the Schroedinger's
Equation for a One-Electron Atom
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2 | Page 3 | Page
4 | Page 5 | Page
6 | Page 7 | Page
8 | Page 9 | Page
10
Rigid Rotation in 2 and 3
Dimensions: Spherical Harmonics
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2 | Page 3 | Page
4 | Page 5 | Page
6 | Page 7 | Page
8 | Page 9 | Page
10 | Page 11 | Page
12 | Page 13 | Page
14 | Page 15
The Complete Hydrogen Atom
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2 | Page 3 | Page
4 | Page 5 | Page
6 ||2p, 3p Atomic Orbitals | 3d
Atomic Orbitals | 4d Atomic Orbitals ||
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9
Approximate Methods in QM
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2 | Page 3 | Page
4 | Page 5 | Page
6 | Page 7 | Page
8
The Many Electron Atom (approximately,
of course)
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2 | Page 3 | Page
4 | Page 5 | Page
6 | Page 7 | Page
8 | Page 9 | Page
10 | Page 11 | Page
12 | Page 13
