Actes de conférences
|Conformal invariance of the 1D collisionless Boltzmann equation|
|Stoimenov S., Henkel M.|
|Springer Proc. Math. Stat. 191 (2016) 453-463|
|DOI : 10.1007/978-981-10-2636-2|
Dynamical symmetries of the collisionless Boltzmann transport equation, with an external driving force, are derived in d = 1 spatial dimensions. Both positions and velocites are considered as independent variables. The Lie algebra of dynamical symmetries is isomorphic to the 2D projective conformal algebra, but we find new non-standard representations. Several examples with explicit external forces are presented.