Monday, April 4, 2016

angular momentum - General definition of vector, spinor, and spin


I am looking for basic and exact definitions of fundamental physical concepts in graduate level.


I reach this following definitions. Could you please help to improve these definitions.




  • Spin: Intrinsic degree of freedom for quantum particles and obey angular momentum algebra.




  • Spinor: Eigenstates of unitary groups





  • Vector: Eigenstates of orthogonal groups




  • Dirac Spinor: (operator? or eigenstate?) describes spin 1/2 particles




  • Weyl Spinor: (operator? or eigenstate?) describes spin 1/2 massless particles (like neutrino?)





  • Majorana Spinor: (operator? or eigenstate?) describes spin 1/2 particles which have equal to own antiparticles.






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