2,379 research outputs found
Fractional Galilean Symmetries
We generalize the differential representation of the operators of the
Galilean algebras to include fractional derivatives. As a result a whole new
class of scale invariant Galilean algebras are obtained. The first member of
this class has dynamical index similar to the Schr\"odinger algebra. The
second member of the class has dynamical index , which happens to be the
dynamical index Kardar-Parisi-Zhang equation
- …