翻訳と辞書 Words near each other ・ Dirac algebra ・ Dirac bracket ・ Dirac comb ・ Dirac delta function ・ Dirac equation ・ Dirac equation in curved spacetime ・ Dirac equation in the algebra of physical space ・ Dirac fermion ・ Dirac hole theory ・ Dirac large numbers hypothesis ・ Dirac measure ・ Dirac operator ・ Dirac Prize ・ Dirac sea ・ Dirac spectrum ・ Dirac spinor ・ Dirac string ・ Dirac's theorem ・ Dirac, Charente ・ Dirachma ・ Dirac–von Neumann axioms ・ Diradical ・ Dirakari ・ Diraklu ・ Diralo Point ・ Diran ・ Diran (disambiguation) ・ Diran Adebayo ・ Diran Alexanian ・ Diran Kelekian Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Dirac spinor ： ウィキペディア英語版 Dirac spinor In quantum field theory, the Dirac spinor is the bispinor in the plane-wave solution :$\backslash psi\; =\; \backslash omega\_\backslash vec\backslash ;e^\; \backslash ;$ of the free Dirac equation, :$(i\backslash gamma^\backslash mu\backslash partial\_-m)\backslash psi=0\; \backslash ;,$ where (in the units $\backslash scriptstyle\; c\; \backslash ,=\backslash ,\; \backslash hbar\; \backslash ,=\backslash ,\; 1$) :$\backslash scriptstyle\backslash psi$ is a relativistic spin-1/2 field, :$\backslash scriptstyle\backslash omega\_\backslash vec$ is the Dirac spinor related to a plane-wave with wave-vector $\backslash scriptstyle\backslash vec$, :$\backslash scriptstyle\; px\; \backslash ;\backslash equiv\backslash ;\; p\_\backslash mu\; x^\backslash mu$, :$\backslash scriptstyle\; p^\backslash mu\; \backslash ;=\backslash ;\; \backslash ,\backslash ,\; \backslash vec\backslash \}$ is the four-wave-vector of the plane wave, where $\backslash scriptstyle\backslash vec$ is arbitrary, :$\backslash scriptstyle\; x^\backslash mu$ are the four-coordinates in a given inertial frame of reference. The Dirac spinor for the positive-frequency solution can be written as :$$ \omega_\vec = \begin \phi \\ \frac} \phi \end \;, where :$\backslash scriptstyle\backslash phi$ is an arbitrary two-spinor, :$\backslash scriptstyle\backslash vec$ are the Pauli matrices, :$\backslash scriptstyle\; E\_\backslash vec$ is the positive square root $\backslash scriptstyle\; E\_^2\}$ ==Derivation from Dirac equation== The Dirac equation has the form :$\backslash left(-i\; \backslash vec\; \backslash cdot\; \backslash vec\; +\; \backslash beta\; m\; \backslash right)\; \backslash psi\; =\; i\; \backslash frac\; \backslash ,$ In order to derive the form of the four-spinor $\backslash scriptstyle\backslash omega$ we have to first note the value of the matrices α and β: : These two 4×4 matrices are related to the Dirac gamma matrices. Note that 0 and I are 2×2 matrices here. The next step is to look for solutions of the form :$\backslash psi\; =\; \backslash omega\; e^$, while at the same time splitting ω into two two-spinors: :$\backslash omega\; =\; \backslash begin\; \backslash phi\; \backslash \backslash \; \backslash chi\; \backslash end\; \backslash ,$. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Dirac spinor」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.