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Generalized Fock space and contextuality. [PDF]
Philos Trans A Math Phys Eng Sci, 2019 This paper is devoted to linear space representations of contextual probabilities—in generalized Fock space. This gives the possibility to use the calculus of creation and annihilation operators to express probabilistic dynamics in the Fock space (in particular, the wide class of classical kinetic equations).
Rashkovskiy S, Khrennikov A.
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The Fock Space as a De Branges–Rovnyak Space [PDF]
Integral Equations and Operator Theory, 2019 We show that de Branges-Rovnyak spaces include as special cases a number of spaces, such as the Hardy space, the Fock space, the Hardy-Sobolev space and the Dirichlet space. We present a general framework in which all these spaces can be obtained by specializing a sequence that appears in the construction.
Fabrizio Colombo +2 more
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Monopole-fermion scattering and varying Fock space
Journal of High Energy Physics, 2022 We propose a four-dimensional interpretation of the outgoing state of the scattering of a massless fermion off a Dirac monopole. It has been known that such a state has fractional fermion numbers and is necessarily outside the Fock space on top of ...
Yuta Hamada +2 more
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Factorization and reflexivity on Fock spaces [PDF]
Integral Equations and Operator Theory, 1995 The framework of the paper is that of the full Fock space ${\Cal F}^2({\Cal H}_n)$ and the Banach algebra $F^\infty$ which can be viewed as non-commutative analogues of the Hardy spaces $H^2$ and $H^\infty$ respectively. An inner-outer factorization for any element in ${\Cal F}^2({\Cal H}_n)$ as well as characterization of invertible elements in $F ...
Arias, Alvaro, Popescu, Gelu
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Variable exponent Fock spaces [PDF]
Czechoslovak Mathematical Journal, 2019 In this article we introduce Variable exponent Fock spaces and study some of their basic properties such as the boundedness of evaluation functionals, density of polynomials, boundedness of a Bergman-type projection and duality.
Chacón, Gerardo R., Chacón, Gerardo A.
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On the Fock Kernel for the Generalized Fock Space and Generalized Hypergeometric Series
Journal of Function Spaces, 2021 In this paper, we compute the reproducing kernel Bm,αz,w for the generalized Fock space Fm,α2ℂ. The usual Fock space is the case when m=2. We express the reproducing kernel in terms of a suitable hypergeometric series 1Fq.
Jong-Do Park
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Matrices related to some Fock space operators [PDF]
Opuscula Mathematica, 2011 Matrices of operators with respect to frames are sometimes more natural and easier to compute than the ones related to bases. The present work investigates such operators on the Segal-Bargmann space, known also as the Fock space.
Krzysztof Rudol
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Universe, 2022 This review is devoted to the universal algebraic and geometric properties of the non-relativistic quantum current algebra symmetry and to their representations subject to applications in describing geometrical and analytical properties of quantum and ...
Anatolij K. Prykarpatski
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Bulgarian Journal of Physics, 2020 A general theorem due to Howe of dual action of a classical group and a certain non-associative algebra on a space of symmetric or alternating tensors is reformulated in a setting of second quantization, and familiar examples in atomic and nuclear physics are discussed. The special case of orthogonal–orthogonal duality is treated in detail. It is shown
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Toeplitz Operators with IMOs Symbols between Generalized Fock Spaces
Journal of Function Spaces, 2021 In this paper, we study the mapping properties of Toeplitz operators Tf associated with IMOs symbols f acting between two generalized Fock spaces Fφp, where ...
Yiyuan Zhang, Guangfu Cao, Li He
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