Rarita–Schwinger Equation
978-613-1-36889-9
6131368899
64
2010-11-13
29.00 €
eng
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In theoretical physics, the Rarita–Schwinger equation is the relativistic field equation of spin-3/2 fermions. It is similar to the Dirac equation for spin-1/2 fermions. This equation was first introduced by William Rarita and Julian Schwinger in 1941. In modern notation it can be written as: epsilon^{mu nu rho sigma} gamma^5 gamma_nu partial_rho psi_sigma + mpsi^mu = 0 where εμνρσ is the Levi-Civita symbol, γ5 and γν are Dirac matrices, m is the mass and ψμ is a vector-valued spinor with additional components compared to the four component spinor in the Dirac equation. It corresponds to the left(tfrac{1}{2},tfrac{1}{2}right)otimes left(left(tfrac{1}{2},0right)oplus left(0,tfrac{1}{2}right)right) representation of the Lorentz group, or rather, its left(1,tfrac{1}{2}right) oplus left(tfrac{1}{2},1 right) part. This field equation can be derived from the following Lagrangian: mathcal{L}=tfrac{1}{2} epsilon^{mu nu rho sigma} bar{psi}_mu gamma^5 gamma_nu partial_rho psi_sigma - m bar{psi}_mu gamma^{mu nu}psi_nu where the bar above ψμ denotes the Dirac adjoint.
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Физическая химия
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