nojoon myoung 2015-12-081. de broglie’s matter wave (1924) heisenberg’s matrix mechanics (1925)...
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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
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A relativistic version of Schrodinger equation
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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
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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
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Graphene: two-dimensional massless fermion gas
Eight states (spin+valley+particle-pair)
Lastest Nobel prize winner
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Wavefunction continuity: no longer valid
Probability current density
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