"Spin system and Pauli exclusion principle"의 두 판 사이의 차이

2012년 6월 5일 (화) 07:55 판

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.

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

@@ 6번째 줄: / 6번째 줄: @@
-<h5>고전역학의 각운동량</h5>
-* <math>\mathbf{L}=\mathbf{r}\times \mathbf{p}</math>
-*  A classical electron moving around a nucleus in a circular orbit<br>
-** orbital angular momentum, <math>L=m_evr</math>
-** magnetic dipole moment, <math>\mu= -evr/2</math>
-** where e, m_e, v, and r are the electron´s charge, mass, velocity, and radius, respectively.
-*  A classical electron of homogeneous mass and charge density rotating about a symmetry axis<br>
-** angular momentum, <math>L=(3/5)m_eR^2\Omega</math>
-** magnetic dipole moment, <math>\mu= -(3/10)eR^2\Omega</math>, where R and \Omega are the electron´s classical radius and rotating frequency
-*  gyromagnetic ratio <math>\gamma = \mu/L=-e/2m_e</math><br>[/pages/7141159/attachments/4562863 I15-62-g20.jpg]<br>
-* pictures from [http://universe-review.ca/R15-12-QFT.htm#g2 Gyromagnetic Ratio and Anomalous Magnetic Moment]