"Klein-Gordon equation"의 두 판 사이의 차이

2010년 11월 8일 (월) 17:15 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.

@@ 24번째 줄: / 24번째 줄: @@
 ** for example, <math>\pi</math>-meson
 * Thus the Dirac equation comes in to deal with spin-<math>1/2</math> particles.
+<h5>plane wave solutions</h5>
+*