"Klein-Gordon equation"의 두 판 사이의 차이

2020년 12월 28일 (월) 04:16 기준 최신판

in condensed matter physics it describes long wavelength optical phonons
there are real KG equation and complex KG equation
- real case describes electrically neutral particles
- complex case describes charged particles
\((\Box + m^2) \psi = 0\) i.e. \((\Box + m^2) \psi =\psi_{tt}-\psi_{xx}-\psi_{yy}-\psi_{zz}+m^2\psi=0\)
correct interpretations of \(\phi\) requires the idea of quantum field rather than the particle wavefunction
- negative probability density -> charge density
Dirac suggested Dirac sea by invoking the exclusion principle and then KG equation only applicable to spinless particles
- for example, \(\pi\)-meson
Thus the Dirac equation comes in to deal with spin-\(1/2\) particles.

@@ 1번째 줄: / 1번째 줄: @@
+* [[클라인-고든_방정식]]
+==introduction==
+* in condensed matter physics it describes long wavelength optical phonons
+*  there are real KG equation and complex KG equation
+** real case describes electrically neutral particles
+** complex case describes charged particles
+* <math>(\Box + m^2) \psi = 0</math> i.e. <math>(\Box + m^2) \psi =\psi_{tt}-\psi_{xx}-\psi_{yy}-\psi_{zz}+m^2\psi=0</math>
+*  correct interpretations of <math>\phi</math> requires the idea of quantum field rather than the particle wavefunction
+** negative probability density -> charge density
+*  Dirac suggested Dirac sea by invoking the exclusion principle and then KG equation only applicable to spinless particles
+** for example, <math>\pi</math>-meson
+* Thus the Dirac equation comes in to deal with spin-<math>1/2</math> particles.
+==Lorentz invariant commutation relation==
+==related items==
+* [[special and general relativity]]
+* [[sine-Gordon equation]]
+[[분류:physics]]
+[[분류:math and physics]]
+[[분류:QFT]]
+[[분류:migrate]]