Results 31 to 40 of about 5,233,673 (285)

Hankel operators between different doubling Fock spaces

open access: yesJournal of Inequalities and Applications, 2022
In this paper, we study Hankel operators on the doubling Fock spaces for all possible 1 ≤ p , q < ∞ $1\leq p ...
Jianjun Chen, Guangxia Xu
doaj   +1 more source

Complex symmetric weighted composition operators on the Fock space in several variables

open access: yesComplex Variables and Elliptic Equations, 2018
Pham Viet Hai, Le Hai Khoi
exaly   +2 more sources

A Hörmander–Fock space

open access: yes, 2023
In a recent paper we used a basic decomposition property of polyanalytic functions of order 2 in one complex variable to characterize solutions of the classical ∂-problem for given analytic and polyanalytic data.
Alpay, Daniel   +9 more
core   +2 more sources

Topological transitivity of translation operators in a non-separable Hilbert space

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2023
We consider a Hilbert space of entire analytic functions on a non-separable Hilbert space, associated with a non-separable Fock space. We show that under some conditions operators, like the differentiation operators and translation operators, are ...
Z.H. Novosad
doaj   +1 more source

Dynamics of strongly interacting systems: From Fock-space fragmentation to many-body localization [PDF]

open access: yesPhysical review B, 2019
We study the $t\text{\ensuremath{-}}V$ disordered spinless fermionic chain in the strong-coupling regime, $t/V\ensuremath{\rightarrow}0$. Strong interactions highly hinder the dynamics of the model, fragmenting its Hilbert space into exponentially many ...
Giuseppe De Tomasi   +3 more
semanticscholar   +1 more source

General Criterion for Non-Hermitian Skin Effects and Application: Fock Space Skin Effects in Many-Body Systems. [PDF]

open access: yesPhysical Review Letters
Non-Hermiticity enables macroscopic accumulation of bulk states, named non-Hermitian skin effects. The non-Hermitian skin effects are well established for single-particle systems, but their proper characterization for general systems is elusive. Here, we
Kenji Shimomura, Masatoshi Sato
semanticscholar   +1 more source

Interacting Fock space versus full Fock module [PDF]

open access: yes, 2008
We present several examples where moments of creators and annihilators on an {\it interacting Fock space} may be realized as moments of creators and annihilators on a {\it full Fock module}.
Skeide, M   +6 more
core   +1 more source

How to differentiate a quantum stochastic cocycle. [PDF]

open access: yes, 2010
Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed. The first concerns mapping cocycles on an operator space and demonstrates the role of H\"older continuity; the second concerns contraction operator ...
Lindsay, J Martin   +2 more
core   +1 more source

Many-body localization in Fock space: A local perspective [PDF]

open access: yesPhysical review B, 2018
A canonical model for many-body localization (MBL) is studied, of interacting spinless fermions on a lattice with uncorrelated quenched site-disorder. The model maps onto a tight-binding model on a `Fock-space (FS) lattice' of many-body states, with an ...
D. E. Logan, S. Welsh
semanticscholar   +1 more source

Asymptotic States and S-Matrix Operator in de Sitter Ambient Space Formalism

open access: yesUniverse, 2023
Within the de Sitter ambient space framework, the two different bases of the one-particle Hilbert space of the de Sitter group algebra are presented for the scalar case.
Mohammad Vahid Takook   +2 more
doaj   +1 more source

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