**MSC:**- 81S10 Geometric quantization, symplectic methods, See Also {
- 53C80 Applications to physics

define a Lie derivative of (Riemannian) spinor fields.

A Lie derivative of symplectic spinor fields in the direction of Hamiltonian

vector fields can be defined in a very natural way.

It is the aim of this note to present this construction.

Furthermore, an immediate interpretation of this Lie derivative

in the language of natural ordering quantization is given.