Iyengar Group
Theoretical and Computational Chemistry and Chemical Physics

C668: Special Topics in Physical Chemistry (Advanced Quantum Mechanics)

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Instructor	Email
Srinivasan S. Iyengar	iyengar@indiana.edu

Course Outline

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Review of analytically solvable problems

• Particle-in-a-box
  Simultaneous additional reading: Linear algebra
• Harmonic Oscillator
• Harmonic oscillator revisited: Dirac’s approach and introduction to Second Quantization
• The Hydrogen Atom
  Simultaneous additional reading: Angular Momentum
  Simultaneous additional reading: Spherical coordinates and Harmonics

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Foundations

• Probability Current or flux, the continuity equation and definition of magnetization.
• The Stern Gerlach experiments
  Simultaneous additional reading: Representation theory and quantum mechanics
  Simultaneous additional reading: Operators-I
  Simultaneous additional reading: Spin matrices
  Simultaneous additional reading: Change of Basis
  Simultaneous additional reading: The concept of measurment of quantum mechanics
• The postulates of quantum mechanics
• Uncertainty