Textbook:  Ira N. Levine, Quantum Chemistry, 7th ed. (2014)
   References:
   a) 严严严严严严严严(I)严严 (2019)
                                                           rd
   b) David J. Griffith, Introduction to Quantum Mechanics, 3  
      ed. (2018)
                                                   nd
   c) R. Shakar, Principles of Quantum Mechanics, 2  ed. (1994)
   d) J. J. Sakurai, Modern Quantum Mechanics, (1994)
   e) 严严严, 严严严严I/II, 4th ed.
  Course Description
  To provide a working knowledge of the concepts,  basic results and 
     mathematical skills in quantum mechanics/chemistry
  The principles and basic tools in quantum mechanics
  Particle-in-box and one-dimensional tunneling problems
  Harmonic oscillator
  Angular momentum theorem, with applications to molecular 
   rotation, and electronic orbitals and spins
  Hilbert-space formulations and representations
  Perturbation theory and variational principle
  Introduction of electronic structure theory, with applications to 
   atomic/molecular structures, spectroscopy, & chemical bonding
  Density matrix and Liouville-space descriptions
  Quantum entanglement (if possible)
   Quantum Mechanics -- Foundation of all modern fields of sci
   ences, including chemistry, biology, and material sciences. It is 
        the ONLY way to TRULY understand
   • Nature of atoms, chemical bonds, and molecules 
   • Structures and properties matters
   • Intermolecular forces (hydrogen bonds and van der Waals forces)
   • Enzymology, proteinomics, and genomics
   • Nanoscience and material science  
   • Property of electromagnetic radiation (such as light)
   • Matter interaction with external electromagnetic fields
      Quantum Chemistry is built up on the principles of 
     quantum mechanics, and provides further the molecular 
    understanding on the structures and properties of chemical 
      compounds, materials, and biological processes
                 Coverage
  Topic 0: Opening Remarks and Background Skills
   Classical Mechanics; Mathematical Tools in QM
  Topic 1: Quantum Mechanics: Concepts and Principles  (Ch1)
   Birth of QM and landmarks
  Topic 2: Solving Schrödiner Equation for Basic Systems (Ch2&4)
   Particle in a box; Quantum well; Tunneling; Particle in a ring; Harmonic oscillator
  Topic 3: QM Machineries (Ch3-5,7)
     QM postulations; Hilbert-space formulations; Representation theory; Commutators vs 
   uncertainty relations;  Harmonic Oscillator via Algebraic Approach; Angular Momentum 
   Theorem and Applications  
  Topic 4: Rotation and Vibration Spectroscopy (Ch6)
  Topic 5:  Electronic Structure and Spectra (Ch6)
  Topic 6:  Variation Principle and Perturbation Theory (Ch8,9)
  Topic 7:  Density Matrix & Liouville-space Formulations 
          Topic 0
     A.  Background Knowledge