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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Toeplitz quantization on Fock space [PDF]
Journal of Functional Analysis, 2018 For Toeplitz operators $T_f^{(t)}$ acting on the weighted Fock space $H_t^2$, we consider the semi-commutator $T_f^{(t)}T_g^{(t)}-T_{fg}^{(t)}$, where $t>0$ is a certain weight parameter that may be interpreted as Planck's constant $\hbar$ in Rieffel's deformation quantization.
Bauer, Wolfram +2 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
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Boundedness and Compactness of Hankel Operators on Large Fock Space
Journal of Function Spaces, 2022 We introduce the BMO spaces and use them to characterize complex-valued functions f such that the big Hankel operators Hf and Hf¯ are both bounded or compact from a weighted large Fock space Fpϕ into a weighted Lebesgue space Lpϕ when 1 ...
Xiaofeng Wang, Zhicheng Zeng
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Schatten Class Generallized Integration Operators on Fock Spaces [PDF]
, 2023 Different properties of Volterra-type integral operator have been studied in the past two decades on several functional spaces. In particular, on Fock spaces Volterra type integral operator studied by (Constantin, 2012 and Mengestie, 2013).
Mustefa Abduletif +2 more
core
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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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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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
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Operational interpretation of the vacuum and process matrices for identical particles [PDF]
Quantum, 2023 This work overviews the single-particle two-way communication protocol recently introduced by del Santo and Dakić (dSD), and analyses it using the process matrix formalism.
Ricardo Faleiro +2 more
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Fock and Hardy Spaces: Clifford Appell Case [PDF]
, 2022 In this paper, we study a specific system of Clifford–Appell polynomials and, in particular, their product. Moreover, we introduce a new family of quaternionic reproducing kernel Hilbert spaces in the framework of Fueter regular functions.
Alpay, Daniel +5 more
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