2-1 Photon polarization
2-2 Selection rule for electric dipole transition
2-3 Operators of photon polarization
2-4 Polarization of photon emitted from an excited atom
2-5 Commutation relation related to mirror reflection operator based on BH lemma
2-6 Polarizer and photon polarization
2-7 Reflection and Inversion
2-8 Thought experiments of Dirac n-polarizers and Stern-Gerlach (spin 1/2)
2-9 Quarter and Halfwave plates -projection operator

3-1 Hermitian operator
3-2 Change of basis
3-3 Commuting observables
3-4 Commutation relations of x and p
3-5 Commutation relation of angular momentum

4-1 Eigenvectors and eigenvalues
4-2 Eigenvalue problem for S = 1

5-1 Geometrical rotation
5-2 Properties of angular momentum
5-3 Matrix representation of angular momentum
5-4 Properties of rotation operator
5-5 Matrix of rotation operator with any j
5-6 Matrix of rotation operator with S=1/2
5-7 Matrix of rotation operator with S=1
5-8 Angular momentum and rotation operator (Mathematica file)

6-1 Schwarz inequaliy
6-2 Dirac delta function
6-3 Kronecker product
6-4 Vector and tensor operators

7-1 Time evolution operator
7-2 Wave packet revised
7-3 Maser physics
7-4 Laser physics Over view
7-5 Magnetic resonance Rabi formula
7-6 Quantum Mechanics on NMR with the use of Mathematica

8-1 Two spin states of S = 1/2 particles
8-2 Three and four spin states
8-3 Exchange interaction and Zeeman energy for spin 1/2
8-4 Three particles with S = 1/2 and S = 1

9 Density operator

10-1 Quantum entanglement spin 1/2
10-2 Local realism GHZ state
10-3 Quantum teleportation
10-4 Quantum dense coding

11-1 Quantum computation I Over view
11-2 Quantum computation II Matrix method
11-3 Quantum computation III Operator method
11-4 Quantum computing: Equivalence between Quantum teleportation and SWAP

12-1 x and p representation
12-2 Probability current density
12-3 Translation operator
12-4 Parity operator
12-5 Bloch theorem
12-6 Kronig Penny model

13-1 1D barrier with a delta function potential
13-2 1D Bound state
13-3 Quantum box
13-4 Free electron Fermi gas model; density of states
13-5 Transfer matrix scanning tunneling microscope
13-6 A particle confined in triangular well potential: Airy function

14-1 Simple harmonics
14-2 Differential operator method in simple harmonics with the use of Mathematica
14-3 Mathematica Programs for Simple Harmonics (Mathematica file)

15-1 WKB approximation
15-2 WKB for simple harmonics

16-1 Coherent state and squeezed state
16-2 Baker-Campbell Hausdorf theorem

Topics1: Laplace-Runge-Lenz vector in Feynman hodograph diagram