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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

G. Morchio (1996)

Annales de l'I.H.P. Physique théorique

Construction of vacuum for the positive-energy representation and its Bose counterpart.

Ole Rask Jensen (1997)

Mathematica Scandinavica

Curves of maximum modulus in coherent state representations

Kristian Seip (1989)

Annales de l'I.H.P. Physique théorique

Decoherence of quantum Markov semigroups

Rolando Rebolledo (2005)

Annales de l'I.H.P. Probabilités et statistiques

Dynamic localization of charged particle under the influence of generalized electric field.

Jivulescu, Anastasia Maria (2005)

Acta Universitatis Apulensis. Mathematics - Informatics

Effective bosonic degrees of freedom for one-flavour chromodynamics

J. Kijowski, G. Rudolph, M. Rudolph (1998)

Annales de l'I.H.P. Physique théorique

Equivalent norms in some spaces of analytic functions and the uncertainty principle

Boris Paneah (1996)

Banach Center Publications

The main object of this work is to describe such weight functions w(t) that for all elements $f \in L_{p, Ω}$ the estimate $∥ w f ∥_{p} \geq K (Ω) ∥ f ∥_{p}$ 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 $Ω_{\infty}$ . In one-dimensional case means that $K (σ) : = K (Ω_{σ}) \to \infty$ 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...

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Addendum to “Curves of maximum modulus in coherent state representations”

Analyticity and Borel summability of the $φ^{4}$ models. I. The dimension $d = 1$

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

$C^{*}$ -cross products and a generalized quantum mechanical $N$ -body problem.

Canonical commutation relations and interacting Fock spaces

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

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.

Currently displaying 1 – 20 of 66