AGENDA (Koski)

Lecture 1: 9/25/19 (Unit I: Basics)

• 1.1: Blackbody Radiation Cannot Be Explained Classically
• 1.2: Quantum Hypothesis used for Blackbody Radiation Law
  • ASSIGNMENT: Homework 1 (due 10/2 at start of class)

Lecture 2: 9/27/19 (Unit I: Basics)

• 1.3: Photoelectric Effect Explained with Quantum Hypothesis
• 1.4: The Hydrogen Atomic Spectrum

Lecture 3: 9/30/19 (Unit I: Basics)

• 1.5: The Rydberg Formula and the Hydrogen Atomic Spectrum
• 1.7: de Broglie Waves Are Observed Experimentally
• 1.6: Matter Has Wavelike Properties
• 1.8: The Bohr Theory of the Hydrogen Atom
• 1.9: The Heisenberg Uncertainty Principle

Lecture 4: 10/2/19 (Unit I: Basics)

• 2.1: The One-Dimensional Wave Equation
• 2.2: The Method of Separation of Variables
  • DISCUSSION: Worksheet 1 (first full week): Continuous Distributions
  • ASSIGNMENT: Homework 2 (due 10/9 at start of class)

Lecture 5: 10/4/19 (Unit I: Basics)

• 2.3: Oscillatory Solutions to Differential Equations
• 2.4: The General Solution is a Superposition of Normal Modes
• 2.5: A Vibrating Membrane

Lecture 6: 10/7/19 (Unit I: Basics)

• 3.1: The Schrödinger Equation
• 3.2: Linear Operators in Quantum Mechanics
• 3.3: The Schrödinger Equation is an Eigenvalue Problem

Lecture 7: 10/9/19 (Unit I: Basics)

• 3.4: Wave Functions Have a Probabilistic Interpretation
• 3.5: The Energy of a Particle in a Box Is Quantized
• 3.6: Wave Functions Must Be Normalized
• 3.7: The Average Momentum of a Particle in a Box is Zero

• • DISCUSSION: Worksheet 2 
  • ASSIGNMENT: Homework 3 (due 10/16 at start of class)

Lecture 8: 10/11/19 (Unit I: Basics)

• 3.8: The Uncertainty Principle
• 3.9: A Particle in a Three-Dimensional Box is a Simple Extension of the One-Dimensional Case

Lecture 9: 10/14/19 (Unit I: Basics)

• 4.1: The Wavefunction Specifies the State of a System
• 4.2: Quantum Operators Represent Classical Variables
• 4.3: Observable Quantities Must Be Eigenvalues of Quantum Mechanical Operators
• 4.4: The Time-Dependent Schrodinger Equation
• Dirac Notation
• 4.6: Commuting Operators Allow Infinite Precision

Lecture 10: 10/16/19 (Unit II: Model Systems)

• 4.5: The Eigenfunctions of Operators are Orthogonal (Hermitian Operators)
• 5.1: A Harmonic Oscillator Obeys Hooke's Law
• 5.4: The Harmonic Oscillator Energy Levels
• 5.6: The Harmonic-Oscillator Wavefunctions Involve Hermite Polynomials
  • DISCUSSION: Worksheet 3A
  • DISCUSSION: Worksheet 3B
  • ASSIGNMENT: Homework 4 (due 10/23 at start of class)

Lecture 11: 10/18/19 (Unit II: Model Systems)

• 5.2: Reduced Mass in the Harmonic Oscillator
• 5.3: The Harmonic-Oscillator Approximation
• 5.6: The Harmonic-Oscillator Wavefunctions Involve Hermite Polynomials
• Number of vibrational modes for a molecule
• Creation and Annihilation operators

Exam 1: 10/21/19

• Exam covers lectures 1 through 11

Lecture 12: 10/23/19 (Unit II: Model Systems)

• 5.7. Hermite Polynomials are Even or Odd
• 5.5. The Harmonic Oscillator and IR Spectra
  • DISCUSSION: Worksheet 4A
  • DISCUSSION: Worksheet 4B
  • ASSIGNMENT: Homework 5 (due 10/30 at start of class)

Lecture 13: 10/25/19 (Unit II: Model Systems)

• 5.8. The Energy Levels of a Rigid Rotator
• 5.9. The Rigid Rotator Models a Rotating Diatomic

Lecture 14: 10/28/19 (Unit III: Atoms)

• 6.1. The Schrodinger Equation for the Hydrogen Atom Can Be Solved Exactly
• 6.2. The Wave Functions of a Rigid Rotator Are Called Spherical Harmonics

Lecture 15: 10/30/19 (Unit III: Atom)

• 6.4: Hydrogen Atomic Orbitals Depend upon Three Quantum Numbers
• 6.5: s Orbitals Are Spherically Symmetric
• • DISCUSSION: Worksheet 5
  • ASSIGNMENT: Homework 6a (due 11/6 at start of class)
  • ASSIGNMENT: Homework 6b (due 11/6 at start of class)

Lecture 16: 11/1/19 (Unit III: Atoms)

• 6.3. The Precise Values of the Three Components of Angular Momentum Cannot Be Measured Simultaneously

Lecture 17: 11/4/19 (Unit III: Atoms)

• 6.7. The Helium Atom Cannot Be Solved Exactly
• 7.1. The Variational Method

Lecture 18: 11/6/19 (Unit III: Atoms)

• 7.1. The Variational Method
• 7.2. The Secular Determinant
• • DISCUSSION: Worksheet 6A
  • DISCUSSION: Worksheet 6B
  • ASSIGNMENT: Homework 7A Homework (Due 11/13)
  • ASSIGNMENT: Homework 7B Homework: ab initio Calculations (Due 11/13)

Lecture 19: 11/8/19 (Unit III: Atoms)

• 7.3. Trial Functions Can Be Combinations of Functions
• 7.4. Perturbation Theory Expresses the Solution to One Problem in Terms of Another Problem Solved Previously

No Lecture: 11/11/19 (Veterans' Day)

Exam 2: 11/13/19

• Covers all material until this point
  • DISCUSSION: Worksheet 7A
  • DISCUSSION: Worksheet 7B
  • ASSIGNMENT: Homework 8 (Due 11/20 at start of class)

Lecture 20: 11/15/19 (Unit III: Atoms)

• 7.4. Perturbation Theory Expresses the Solution to One Problem in Terms of Another Problem Solved Previously
• 8.2: Approximations of the Helium Atom

Lecture 21: 11/18/19 (Unit III: Atoms)

• 8.1: Electronic Structure Calculation is Atomic Units
• 8.4: An Electron Has An Intrinsic Spin Angular Momentum
• 8.5: Wavefunction Symmetry and Interchange of Electrons

Lecture 22: 11/20/19 (Unit III: Atoms)

• 8.5: Wavefunction Symmetry and Interchange of Electrons
• 8.6: Slater Determinants
• 8.3: Hartree-Fock Equations
• • DISCUSSION: Worksheet 8
  • ASSIGNMENT: Homework 9 (Due 12/2 at start of class)
  •  

Lecture 23: 11/22/19 (Unit III: Atoms)

• 8.3: Hartree-Fock Equations
• 8.7: Hartree-Fock Calculations
• 8.8: A Term Symbol Gives a Detailed Description of an Electron Configuration

Lecture 24: 11/25/19 (Unit IV: Diatomic Molecules)

• 8.8: A Term Symbol Gives a Detailed Description of an Electron Configuration
• 8.9: The Allowed Values of J
• 8.10: Hund's Rules

Lecture 25: 12/2/19 (Unit IV: Diatomic Molecules)

• 9.1: The Born-Oppenheimer Approximation
• 9.2: The \(H_2^+\) Prototypical Species
• 9.3: The Overlap Integral
  • DISCUSSION: Worksheet 9A   
  • DISCUSSION: Worksheet 9B
  • DISCUSSION: Worksheet 10A
  • DISCUSSION: Worksheet 10B

Lecture 26: 12/4/19 (Unit IV: Diatomic Molecules)

• 9.4: Chemical Bond Stability
• 9.5: Bonding and Antibonding Orbitals
• 9.6: Molecular-Orbital Bonding in \(H_2\)

Lecture 26: 12/4/19 (Unit IV: Diatomic Molecules)

H2

• 9.7: Ordering Molecular Orbitals According to Energies
• 9.8: The Diatomic Helium Molecule
• 9.9: Molecular-Orbital and the Pauli Exclusion Principle
• 9.10: Oxygen Molecules Are Paramagnetic

Final Exam:

• Exam covers lectures 1 through 27