"Klein-Gordon equation"의 두 판 사이의 차이

2010년 11월 2일 (화) 14:29 판

relativistic generalization of Schrodinger equation
this describes the spin-0 particles
there are real KG equation and complex KG equation
- real case describes electrically neutral particles
- complex case describes charged particles
\((\Box + m^2) \psi = 0\)
people found 2 problems of KG equations
- negative energy states
- negative probability density
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: @@
+* free massive scalar field
+* in condensed matter physics it describes long wavelength optical phonons
+* relativistic generalization of Schrodinger equation
+* this describes the spin-0 particles
+*  there are real KG equation and complex KG equation<br>
+** real case describes electrically neutral particles
+** complex case describes charged particles
+* <math>(\Box + m^2) \psi = 0</math>
+*  people found 2 problems of KG equations<br>
+** negative energy states
+** negative probability density
+*  correct interpretations of <math>\phi</math> requires the idea of quantum field rather than the particle wavefunction<br>
+** negative probability density -> charge density
+*  Dirac suggested Dirac sea by invoking the exclusion principle and then KG equation only applicable to spinless particles<br>
+** for example, <math>\pi</math>-meson
+* Thus the Dirac equation comes in to deal with spin-<math>1/2</math> particles.