Spin system and Pauli exclusion principle
imported>Pythagoras0님의 2012년 10월 28일 (일) 17:03 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.
- 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
Dirac wave equationsearch?q=dirac&parent id=6452627==
articles==
- W. Pauli, The Connection Between Spin and Statistics Phys. Rev. 58, 716 - 722 (1940)
- Casimir operator can also detect this number.
- photon
- vector boson
- Gluon
- follows Bose-Einstein statistics
- force-transmitting particles
- quarks and leptons
- follows Fermi-Dirac statistics
- matter particles
- W. Pauli, The Connection Between Spin and Statistics Phys. Rev. 58, 716 - 722 (1940)