Nojoon Myoung 2015-12-081. De Broglie’s matter wave (1924) Heisenberg’s matrix mechanics (1925) Schrodinger equation (1926) Klein-Gordon equation (1927)

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Presentation transcript:

Nojoon Myoung

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

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

Pauli equation: including spin ½ particles Fine structure: relativistic correction

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

Starting 4-vector invariance the same with Klein-Gordon equation

Satisfying 4-vector invariance Including spin states Possibility of negative energy First order differential equation

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

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

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

Wavefunction continuity: no longer valid Probability current density 12/8/201511

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