|
Jerzy Kijowski
Hamiltonian dynamics, Kähler structures, asymptotic variables
Abstract:
The following theorem will be proved:
Given a convex Hamiltonian function on a classical
linear phase space (symplectic space), there is a unique
(almost) Kähler structure, such that:
1) the symplectic form is equal
to the imaginary part of the hermitean metric and
2) the Hamiltonian is given by a self-adjoint operator.
Physical examples are discussed. Example of the
field evolution at null-infinity (''on the SCRI"") is
discussed in detail.