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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