Results 21 to 30 of about 31,317 (214)
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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Fock space on $\mathbb{C}^\infty$ and Bose-Fock space
, 2020 In this paper, we introduce the Fock space over $\mathbb{C}^{\infty}$ and obtain an isomorphism between the Fock space over $\mathbb{C}^{\infty}$ and Bose-Fock space. Based on this isomorphism, we obtain representations of some operators on the Bose-Fock space and answer a question in \cite{coburn1985}.
Wick, Brett D., Wu, Shengkun
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Hankel transforms in generalized Fock spaces
International Journal of Mathematics and Mathematical Sciences, 1994 A classical Fock space consists of functions of the form,ϕ↔(ϕ0,ϕ1,…,ϕq),where ϕ0∈ℂ and ϕq∈Lp(ℝq), q≥1. We will replace the ϕq, q≥1 with test functions having Hankel transforms.
John Schmeelk
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Nonlocal Effects in Fock Space [PDF]
Physical Review Letters, 1995 If a physical system contains a single particle, and if two distant detectors test the presence of linear superpositions of one-particle and vacuum states, a violation of classical locality can occur. It is due to the creation of a two-particle component by the detecting process itself.
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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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Order-Bounded Difference in Weighted Composition Operators Between Fock Spaces
MathematicsThere are two aims in this paper. The first aim is to characterize the order-bounded weighted composition operators between Fock spaces, and the second is to further characterize the order-bounded difference in weighted composition operators between Fock
Xiao-Feng Peng, Zhi-Jie Jiang
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Fock space (2): Multiple fock spaces [PDF]
, 1993 From the algebraic point of view, a multiple Fock space over ℌ is nothing but a standard (symmetric or antisymmetric) Fock space over a direct sum of copies of ℌ,and new definitions are not necessary in principle. However, this chapter contains important new notation, and a few rather interesting constructions, like that of the “finite-temperature ...
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Taming numerical errors in simulations of continuous variable non-Gaussian state preparation
Scientific Reports, 2022 Numerical simulation of continuous variable quantum state preparation is a necessary tool for optimization of existing quantum information processing protocols.
Jan Provazník, Radim Filip, Petr Marek
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Quasi-isomorphisms of cluster algebras and the combinatorics of webs (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We provide bijections between the cluster variables (and clusters) in two families of cluster algebras which have received considerable attention. These cluster algebras are the ones associated with certain Grassmannians of k-planes, and those associated
Chris Fraser
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Fock States of Flavor Neutrinos are Unphysical
, 2003 It is shown that it is possible to construct an infinity of Fock spaces of flavor neutrinos depending on arbitrary unphysical mass parameters, in agreement with the theory of Blasone and Vitiello in the version proposed by Fujii, Habe and Yabuki. However,
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