- #1
Mentz114
- 5,432
- 292
I understand that [tex] E^2 - B^2 [/tex] is invariant under various transformations.
If we consider the vector ( E, B ) as a column, then [tex] E^2 - B^2 [/tex] is preserved after mutiplication by a matrix -
| cosh( v) i.sinh(v) |
| i.sinh(v) cosh(v) |
I think this transformation belongs to a group, but I can't put a name to it.
Does anyone recognise it ?
This matrix
1 i
i 1
also seems to preserve E^2-B^2 but is it a member of the preceeding ?
If we consider the vector ( E, B ) as a column, then [tex] E^2 - B^2 [/tex] is preserved after mutiplication by a matrix -
| cosh( v) i.sinh(v) |
| i.sinh(v) cosh(v) |
I think this transformation belongs to a group, but I can't put a name to it.
Does anyone recognise it ?
This matrix
1 i
i 1
also seems to preserve E^2-B^2 but is it a member of the preceeding ?