Parabosons, parafermions, and explicit representations of infinite-dimensional algebras [PDF]
, 2010 The goal of this paper is to give an explicit construction of the Fock spaces of the parafermion and the paraboson algebra, for an infinite set of generators. This is equivalent to constructing certain unitary irreducible lowest weight representations of
Stoilova, Nedialka, Van der Jeugt, Joris
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Asymptotic States and S-Matrix Operator in de Sitter Ambient Space Formalism
Universe, 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
Crystal isomorphisms in Fock spaces and Schensted correspondence in affine type A [PDF]
, 2014 We are interested in the structure of the crystal graph of level $l$ Fock spaces representations of $\mathcal{U}_q (\widehat{\mathfrak{sl}_e})$. Since the work of Shan [26], we know that this graph encodes the modular branching rule for a corresponding ...
A Lascoux +19 more
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X‐ray magnetic circular dichroism
Major Reference Works, Page 508-515., 2022 International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science.
Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the ...
Gerrit van der Laan C. Chantler +2 more
wiley +1 more source
Symmetric Hilbert spaces arising from species of structures [PDF]
, 2000 Symmetric Hilbert spaces such as the bosonic and the fermionic Fock spaces over some `one particle space' $\K$ are formed by certain symmetrization procedures performed on the full Fock space. We investigate alternative ways of symmetrization by building
Guta, Madalin, Maassen, Hans
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Fourier transforms in generalized Fock spaces
International Journal of Mathematics and Mathematical Sciences, 1990 A classical Fock space consists of functions of the form,Φ↔(ϕ0,ϕ1,…,ϕq,…),where ϕ0∈C and ϕq∈L2(R3q), q≥1. We will replace the ϕq, q≥1 with q-symmetric rapid descent test functions within tempered distribution theory.
John Schmeelk
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Hilbert spaces of symmetric analytical functions on $\ell_{1}$
Karpatsʹkì Matematičnì Publìkacìï, 2013 We consider completions of the space of symmetric polynomials on $\ell_{1}$ with respect to some Hilbert norm and investigate conditions under which the obtained spaces consist of analytic functions with domains in $\ell_{1}$.
O. M. Holubchak
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Wavelet transforms in generalized Fock spaces
International Journal of Mathematics and Mathematical Sciences, 1997 A generalized Fock space is introduced as it was developed by Schmeelk [1-5], also Schmeelk and Takači [6-8]. The wavelet transform is then extended to this generalized Fock space.
John Schmeelk, Arpad Takaci
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Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces
Journal of Function Spaces, 2017 Let s∈R and 2≤p≤∞. We prove that the Segal-Bargmann transform B is a bounded operator from fractional Hermite-Sobolev spaces WHs,pRn to fractional Fock-Sobolev spaces FRs,p.
Hong Rae Cho, Hyunil Choi, Han-Wool Lee
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Solving the Bose-Hubbard model in new ways [PDF]
Quantum, 2022 We introduce a new method for analysing the Bose-Hubbard model for an array of bosons with nearest neighbor interactions. It is based on a number-theoretic implementation of the creation and annihilation operators that constitute the model.
Artur Sowa, Jonas Fransson
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