Jerzy Kijowski

Hamiltonian dynamics, Kähler structures, asymptotic variables


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.