"Spin system and Pauli exclusion principle"의 두 판 사이의 차이
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imported>Pythagoras0 |
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| − | + | ==representation theory== | |
* concept from the representation of <math>SU(2)</math><br> | * concept from the representation of <math>SU(2)</math><br> | ||
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| − | + | ==Dirac wave equation[[search?q=dirac&parent id=6452627|search?q=dirac&parent id=6452627]]== | |
* [[Dirac equation]]<br> | * [[Dirac equation]]<br> | ||
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| − | + | ==articles== | |
* W. Pauli, [http://prola.aps.org/abstract/PR/v58/i8/p716_1 The Connection Between Spin and Statistics] Phys. Rev. 58, 716 - 722 (1940) | * W. Pauli, [http://prola.aps.org/abstract/PR/v58/i8/p716_1 The Connection Between Spin and Statistics] Phys. Rev. 58, 716 - 722 (1940) | ||
[[분류:개인노트]] | [[분류:개인노트]] | ||
2012년 10월 28일 (일) 17:49 판
introduction
- the simplest example of quantum mechanical system
- quantization of the angular momentum
- measures as being some multiple of Planck's constant divided by 2pi
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.
- 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
- quarks and leptons
Dirac wave equationsearch?q=dirac&parent id=6452627
articles
- W. Pauli, The Connection Between Spin and Statistics Phys. Rev. 58, 716 - 722 (1940)