|
The terms of the first oder partial differential equation get names and symbols
|
is the gradient of ![{\displaystyle {\color {white}\psi _{r}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/807097c09b3772864466dfbbae61222ac3bb8b01)
|
is the divergence of ![{\displaystyle {\color {white}{\vec {\psi }}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6471ddb01fee8d6febd630ce2f43cd8f27d30c95)
|
is the curl of
|
|
Faraday
|
![{\displaystyle {\color {white}{\vec {\nabla }}\times {\vec {E}}=-\nabla _{r}{\vec {B}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c92e94261e6d1de8f98950627952b88c52f61e6a)
|
![{\displaystyle {\color {white}{\vec {\nabla }}\times {\vec {E}}=-\nabla _{r}{\vec {B}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c92e94261e6d1de8f98950627952b88c52f61e6a)
|
|
is the Lorentz force
|
These equations look like Maxwell-like equations but in fact, they are quaternionic partial differential equations
|
|
|