-cross products and a generalized quantum mechanical -body problem.
Canonical commutation relations and interacting Fock spaces
We introduce by means of reproducing kernel theory and decomposition in orthogonal polynomials canonical correspondences between an interacting Fock space a reproducing kernel Hilbert space and a square integrable functions space w.r.t. a cylindrical measure. Using this correspondences we investigate the structure of the infinite dimensional canonical commutation relations. In particular we construct test functions spaces, distributions spaces and a quantization map which generalized the work of...
Charged fields, Higgs phenomenon and confinement. Lesson from soluble models
Construction of vacuum for the positive-energy representation and its Bose counterpart.
Curves of maximum modulus in coherent state representations