From Classical to Quantum Mechanics | |
Why Study Quantum Mechanics? | |
Quantum Mechanics Arose Out of the Interplay of Experiments and Theory | |
Blackbody Radiation | |
The Photoelectric Effect | |
Particles Exhibit Wave-Like Behavior | |
Diffraction by a Double Slit | |
Atomic Spectra and the Bohr Model for the Hydrogen Atom | |
The Schrodinger Equation | |
What Determines If a System Needs to Be Described Using Quantum Mechanics? | |
Classical Waves and the Nondispersive Wave Equation | |
Waves Are Conveniently Represented as Complex Functions | |
Quantum Mechanical Waves and the Schrodinger Equation | |
Solving the Schrodinger Equation: Operators, Observables, Eigenfunctions, and Eigenvalues | |
The Eigenfunctions of a Quantum Mechanical Operator Are Orthogonal | |
The Eigenfunctions of a Quantum Mechanical Operator Form a Complete Set | |
Summing Up the New Concepts | |
The Quantum Mechanical Postulates | |
The Physical Meaning Associated with the Wave Function | |
Every Observable Has a Corresponding Operator | |
The Result of an Individual Measurement | |
The Expectation Value | |
The Evolution in Time of a Quantum Mechanical System | |
Using Quantum Mechanics on Simple Systems | |
The Free Particle | |
The Particle in a One-Dimensional Box | |
Two- and Three-Dimensional Boxes | |
Using the Postulates to Understand the Particle in the Box and Vice Versa | |
The Particle in the Box and the Real World | |
The Particle in the Finite Depth Box | |
Differences in Overlap between Core and Valence Electrons | |
Pi Electrons in Conjugated Molecules Can Be Treated as Moving Freely in a Box | |
Why Does Sodium Conduct Electricity and Why Is Diamond an Insulator? | |
Tunneling through a Barrier | |
The Scanning Tunneling Microscope | |
Tunneling in Chemical Reactions 5.8 | |
(Supplemental) Quantum Wells and Quantum Dots | |
Commuting and Noncommuting Operators and the Surprising Consequences of Entanglement | |
Commutation Relations | |
The Stern-Gerlach Experiment | |
The Heisenberg Uncertainty Principle | |
(Supplemental) The Heisenberg Uncertainty Principle Expressed in Terms of Standard Deviations | |
(Supplemental) A Thought Experiment Using a Particle in a Three-Dimensional Box | |
(Supplemental) Entangled States, Teleportation, and Quantum Computers | |
A Quantum Mechanical Model for the Vibration and Rotation of Molecules | |
Solving the Schrodinger Equation for the Quantum Mechanical Harmonic Oscillator | |
Solving the Schrodinger Equation for Rotation in Two Dimensions | |
Solving the Schrodinger Equation for Rotation in Three Dimensions | |
The Quantization of Angular Momentum | |
The Spherical Harmonic Functions | |
(Optional Review) The Classical Harmonic Oscillator | |
(Optional Review) Angular Motion and the Classical Rigid Rotor | |
(Supplemental) Spatial Quantization | |
The Vibrational and Rotational Spectroscopy of Diatomic Molecu | |
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