"Spin system and Pauli exclusion principle"의 두 판 사이의 차이
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* quantization of the angular momentum<br> | * quantization of the angular momentum<br> | ||
* measures as being some multiple of Planck's constant divided by 2pi<br> | * measures as being some multiple of Planck's constant divided by 2pi<br> | ||
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* spin <math>1/2</math> is the most important case since they are the matter particles<br> | * spin <math>1/2</math> is the most important case since they are the matter particles<br> | ||
* this is why we have half-integral spin although those representation are integral highest weight representations.<br> | * this is why we have half-integral spin although those representation are integral highest weight representations.<br> | ||
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2012년 7월 9일 (월) 13:26 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
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