Addendum to “Curves of maximum modulus in coherent state representations”
Analyticity and Borel summability of the models. I. The dimension
Axiomatic analyticity properties and representations of particles in thermal quantum field theory
Axiomatique quantique et algèbres normées non associatives
Bounds on the excess charge and the ionization energy for the Hellmann-Weizsacker model
-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
Decoherence of quantum Markov semigroups
Dynamic localization of charged particle under the influence of generalized electric field.
Effective bosonic degrees of freedom for one-flavour chromodynamics
Equivalent norms in some spaces of analytic functions and the uncertainty principle
The main object of this work is to describe such weight functions w(t) that for all elements the estimate is valid with a constant K(Ω), which does not depend on f and it grows to infinity when the domain Ω shrinks, i.e. deforms into a lower dimensional convex set . In one-dimensional case means that as σ → 0. It should be noted that in the framework of the signal transmission problem such estimates describe a signal’s behavior under the influence of detection and amplification. This work...
Errata to the article ``Topologies on quantum logics induced by measures''
From resonances to master equations
Geometric modular action and transformation groups
Heisenberg's picture and non commutative geometry of the semi classical limit in quantum mechanics
Hilbert spaces for massless particles with nonvanishing helicities
Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type III: The Heun case.