Datrys ihbargamma^mupartial_{mu}psi=mcpsi

$$i \hbar \gamma ^ { \mu } \partial _ { \mu } \psi = m c \psi$$

Datrys ar gyfer c

$$\left\{\begin{matrix}c=\frac{iℏ∂_{μ}\gamma ^{\mu }}{m}\text{, }&m\neq 0\\c\in \mathrm{C}\text{, }&\psi =0\text{ or }\left(ℏ=0\text{ and }m=0\right)\text{ or }\left(\gamma =0\text{ and }\mu \neq 0\text{ and }m=0\right)\text{ or }\left(∂_{μ}=0\text{ and }m=0\right)\end{matrix}\right.$$

Camau ar gyfer Datrys Hafaliad Llinol

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$mc\psi =iℏ\gamma ^{\mu }∂_{μ}\psi$$

Mae'r hafaliad yn y ffurf safonol.

$$m\psi c=i\psi ℏ∂_{μ}\gamma ^{\mu }$$

Rhannu’r ddwy ochr â m\psi .

$$\frac{m\psi c}{m\psi }=\frac{i\psi ℏ∂_{μ}\gamma ^{\mu }}{m\psi }$$

Mae rhannu â m\psi yn dad-wneud lluosi â m\psi .

$$c=\frac{i\psi ℏ∂_{μ}\gamma ^{\mu }}{m\psi }$$

Rhannwch iℏ\gamma ^{\mu }∂_{μ}\psi â m\psi .

$$c=\frac{iℏ∂_{μ}\gamma ^{\mu }}{m}$$

Datrys ar gyfer m

$$\left\{\begin{matrix}m=\frac{iℏ∂_{μ}\gamma ^{\mu }}{c}\text{, }&c\neq 0\\m\in \mathrm{C}\text{, }&\psi =0\text{ or }\left(ℏ=0\text{ and }c=0\right)\text{ or }\left(\gamma =0\text{ and }\mu \neq 0\text{ and }c=0\right)\text{ or }\left(∂_{μ}=0\text{ and }c=0\right)\end{matrix}\right.$$

Camau ar gyfer Datrys Hafaliad Llinol

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$mc\psi =iℏ\gamma ^{\mu }∂_{μ}\psi$$

Mae'r hafaliad yn y ffurf safonol.

$$c\psi m=i\psi ℏ∂_{μ}\gamma ^{\mu }$$

Rhannu’r ddwy ochr â c\psi .

$$\frac{c\psi m}{c\psi }=\frac{i\psi ℏ∂_{μ}\gamma ^{\mu }}{c\psi }$$

Mae rhannu â c\psi yn dad-wneud lluosi â c\psi .

$$m=\frac{i\psi ℏ∂_{μ}\gamma ^{\mu }}{c\psi }$$

Rhannwch iℏ\gamma ^{\mu }∂_{μ}\psi â c\psi .

$$m=\frac{iℏ∂_{μ}\gamma ^{\mu }}{c}$$