1. Nojoon Myoung 2015-12-081

2. De Broglie’s matter wave (1924) Heisenberg’s matrix mechanics (1925) Schrodinger equation (1926) Klein-Gordon equation (1927) Pauli equation (1927) Dirac equation (1928) 2015-12-082

3. A equation which describes de Broglie’s matter wave 2015-12-083  very successful for most of the quantum mechanics  only particles with integer spin  non-relativistic quantum mechanics

4. Pauli equation: including spin ½ particles Fine structure: relativistic correction 2015-12-084

5. A relativistic version of Schrodinger equation 2015-12-085  simple combination of Schrodinger equation and special relativity  valid for spinless particles (only pion)  not fit with energy levels of hydrogen atom

6. Starting 4-vector invariance 2015-12-086 the same with Klein-Gordon equation

7. Satisfying 4-vector invariance Including spin states Possibility of negative energy First order differential equation 2015-12-087

8. Interpretation of antimatter and vacuum 12/8/20158 used in condensed matter physics

9. Perfect transmission even through infinite potential Particle-antiparticle pair 12/8/20159

10. Graphene: two-dimensional massless fermion gas Eight states (spin+valley+particle-pair) Lastest Nobel prize winner 12/8/201510

11. Wavefunction continuity: no longer valid Probability current density 12/8/201511