nojoon myoung 2015-12-081. de broglie’s matter wave (1924) heisenberg’s matrix mechanics (1925)...

Nojoon Myoung

23年 4月 21日 1

De Broglie’s matter wave (1924)

Heisenberg’s matrix mechanics (1925)

Schrodinger equation (1926)

Klein-Gordon equation (1927)

Pauli equation (1927)

Dirac equation (1928)

23年 4月 21日 2

A equation which describes de Broglie’s matter wave

23年 4月 21日 3

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

23年 4月 21日 4

A relativistic version of Schrodinger equation

23年 4月 21日 5

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

23年 4月 21日 6

the same with Klein-Gordon equation

Satisfying 4-vector invariance

Including spin states

Possibility of negative energy

First order differential equation

23年 4月 21日 7

Interpretation of antimatter and vacuum

04/21/23 8

used in condensed matter physics

Perfect transmission even through infinite potential

Particle-antiparticle pair

04/21/23 9

Graphene: two-dimensional massless fermion gas

Eight states (spin+valley+particle-pair)

Lastest Nobel prize winner

04/21/23 10

Wavefunction continuity: no longer valid

Probability current density

04/21/23 11