Gebruiker:Rwbest/Kladblok2: verschil tussen versies

Versie van 3 okt 2022 17:19

Wolfgang Pauli beschreef in 1927 de spin met 2x2 matrices

σ = (	0	1	)
	1	0

(...)

0	1
1	0

D₁ψ₁ + D₃ψ₃ + D₅ψ₄ = 0

D₁ψ₂ + D₆ψ₃ - D₃ψ₄ = 0

D₃ψ₁ + D₅ψ₂ + D₂ψ₃ = 0

D₆ψ₁ - D₃ψ₂ - D₂ψ₄ = 0

D₁ = (h/2πi)(∂/∂t) + eφ + mc²

D₂ = (h/2πi)(∂/∂t) + eφ - mc²

D₃ = c(h/2πi)(∂/∂z) - ceA_z

D₄ = c(h/2πi)(∂/∂x) - ceA_x

D₅ = c(h/2πi)(∂/∂x) - ceA_x - ic(h/2πi)(∂/∂y) - iceA_y

D₆ = c(h/2πi)(∂/∂x) - ceA_x + ic(h/2πi)(∂/∂y) - iceA_y

@@ Regel 22: / Regel 22: @@
 | 1 || 0
 |}
+: D<sub>1</sub>ψ<sub>1</sub> + D<sub>3</sub>ψ<sub>3</sub> + D<sub>5</sub>ψ<sub>4</sub> = 0
+: D<sub>1</sub>ψ<sub>2</sub> + D<sub>6</sub>ψ<sub>3</sub> - D<sub>3</sub>ψ<sub>4</sub> = 0
+: D<sub>3</sub>ψ<sub>1</sub> + D<sub>5</sub>ψ<sub>2</sub> + D<sub>2</sub>ψ<sub>3</sub> = 0
+: D<sub>6</sub>ψ<sub>1</sub> - D<sub>3</sub>ψ<sub>2</sub> - D<sub>2</sub>ψ<sub>4</sub> = 0
+: D<sub>1</sub> = (h/2πi)(∂/∂t) + eφ + mc²
+: D<sub>2</sub> = (h/2πi)(∂/∂t) + eφ - mc²
+: D<sub>3</sub> = c(h/2πi)(∂/∂z) - ceA<sub>z</sub>
+: D<sub>4</sub> = c(h/2πi)(∂/∂x) - ceA<sub>x</sub>
+: D<sub>5</sub> = c(h/2πi)(∂/∂x) - ceA<sub>x</sub> - ic(h/2πi)(∂/∂y) - iceA<sub>y</sub>
+: D<sub>6</sub> = c(h/2πi)(∂/∂x) - ceA<sub>x</sub> + ic(h/2πi)(∂/∂y) - iceA<sub>y</sub>