"Spin system and Pauli exclusion principle"의 두 판 사이의 차이
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imported>Pythagoras0 |
imported>Pythagoras0 |
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| 1번째 줄: | 1번째 줄: | ||
==introduction== | ==introduction== | ||
| − | * {{수학노트|url= | + | * {{수학노트|url=스핀과_파울리의_배타원리}} |
* the simplest example of quantum mechanical system | * the simplest example of quantum mechanical system | ||
* quantization of the angular momentum | * quantization of the angular momentum | ||
2015년 3월 19일 (목) 10:38 판
introduction
- 틀:수학노트
- the simplest example of quantum mechanical system
- quantization of the angular momentum
- measures as being some multiple of Planck's constant divided by $2\pi$
evolution of Pauli exclusion principle
- originated from atomic spectroscopy
- Dirac-antisymmetrizing the wave function for an assembly of indistinguishable particles
- Pauli's spin matrices
- anti-commutation relations for particle creation and annihilation operators in quantum field theory
representation theory
- concept from the representation of \(SU(2)\)
- half of highest weight is called the spin of the module
- Casimir operator can also detect this number.
- spin \(1/2\) is the most important case since they are the matter particles
- this is why we have half-integral spin although those representation are integral highest weight representations.
spin particle statstics
- Bosons
- photon
- vector boson
- Gluon
- follows Bose-Einstein statistics
- force-transmitting particles
- Fermions = spin- \(1/2\) particles
- quarks and leptons
- follows Fermi-Dirac statistics
- matter particles