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Weyl equation : ウィキペディア英語版
Weyl equation

In physics, particularly quantum field theory, the Weyl Equation is a relativistic wave equation for describing massless spin-1/2 particles. It is named after the German physicist Hermann Weyl.
==Equation==

The general equation can be written: 〔Quantum Mechanics, E. Abers, Pearson Ed., Addison Wesley, Prentice Hall Inc, 2004, ISBN 978-0-13-146100-0〕〔The Cambridge Handbook of Physics Formulas, G. Woan, Cambridge University Press, 2010, ISBN 978-0-521-57507-2.〕
: \sigma^\mu\partial_\mu \psi=0
explicitly in SI units:
: I_2 \frac\frac + \sigma_x\frac + \sigma_y\frac + \sigma_z\frac=0
where
: \sigma_\mu = (\sigma_0,\sigma_1,\sigma_2,\sigma_3)= (I_2,\sigma_x,\sigma_y,\sigma_z)
is a vector whose components are the 2 × 2 identity matrix for μ = 0 and the Pauli matrices for μ = 1,2,3, and ψ is the wavefunction - one of the Weyl spinors.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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