Calculation of the Hall conductivity by Abel limit
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...
Charge transfer scatteringin a constant electric field
We prove the asymptotic completeness of the quantum scattering for a Stark Hamiltonian with a time dependent interaction potential, created by N classical particles moving in a constant electric field.
Circular operators related to some quantum observables
Circular operators related to the operator of multiplication by a homomorphism of a locally compact abelian group and its restrictions are completely characterized. As particular cases descriptions of circular operators related to various quantum observables are given.
Classical and quantum scattering for Stark hamiltonians with slowly decaying potentials
Combinatorial approach to Baker-Campbell-Hausdorff exponents
Construction of Non-Linear Local Quantum Processes.
Construction of vacuum for the positive-energy representation and its Bose counterpart.
Contractions of product density operators of systems of identical fermions and bosons.