The authors have organized the main body of their text into ten chapters covering quantum field theory, path integral formulation, supersymmetric quantum mechanics, coherent and squeezed states, BerryAEs phase, Aharonov-Bohm, and Sagnac effects, phase space picture and
canonical transformations, and a wide variety of other related subjects.
The topics include quantum mechanics in abstract Hilbert space, symmetries, higher-order processes, and
canonical transformations for quantum systems.
Firstly, a sequence of canonical transformations within the synchrobetatron framework is applied to determine the energy dependent reference orbit.
We consider the canonical transformation, specified by the generating function
The longitudinal part of the reference orbit can be isolated via a canonical transformation
The (linear and higher order) dispersion can be introduced via a canonical transformation aimed at canceling the first order Hamiltonian [[?
by means of a canonical transformation specified by the generating function
Sixteen papers from the June 2006 conference present new results in normal forms of Poisson structures, deformation of Poisson structures, reduction of systems with symmetry, Kontsevich formality and its variants, and quantization of
canonical transformations via their graphs.
