Results 31 to 40 of about 1,132 (169)
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.
Alpay D., Colombo F., Sabadini I.
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On energy and particle production in cosmology: the particular case of the gravitino
Journal of High Energy PhysicsIt is well-known that the number of particles produced in cosmology, commonly defined in the literature from the Fock space of the instantaneous hamiltonian of the canonically normalized fields, is ambiguous.
Gabriele Casagrande +2 more
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Generalized Fock space and contextuality
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 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).
Sergey Rashkovskiy, Andrei Khrennikov
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A matrix acting between Fock spaces
Journal of Inequalities and ApplicationsIf H ν = ( ν n , k ) n , k ≥ 0 $\mathcal{H}_{\nu}=(\nu _{n,k})_{n,k\geq 0}$ is the matrix with entries ν n , k = ∫ [ 0 , ∞ ) t n + k n ! d ν ( t ) $\nu _{n,k}=\int _{[0,\infty )}\frac{ t^{n+k}}{n!}\,d\nu (t)$ , where ν is a nonnegative Borel measure on ...
Zhengyuan Zhuo +2 more
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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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Polynomial Representations and Categorifications of Fock Space [PDF]
Algebras and Representation Theory, 2012 The rings of symmetric polynomials form an inverse system whose limit, the ring of symmetric functions, is the model for the bosonic Fock space representation of the affine Lie algebra. We categorify this construction by considering an inverse limit of categories of polynomial representation of general linear groups.
Hong, Jiuzu, Yacobi, Oded
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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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On the product of Toeplitz and composition operators on Fock-Sobolev spaces
四川大学学报. 自然科学版, 2021 We characterize the boundedness of the product of Toeplitz and composition operators for two polynomials symbols on Fock-Sobolev spaces. We also consider the commutativity of Toeplitz and composition operator, and obtain several necessary and sufficient ...
QIN Jie, WANG Xiao-Feng
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Chemical Physics Impact, 2022 Superatom molecular orbitals (SAMOs) are atom-like molecular orbitals that have been observed in the buckminsterfullerene C60 molecule. We studied the ice-like water cluster (H2O)10 that is expected to be ubiquitous in nature in nanoscale ...
Javier Hernandez-Ortega +4 more
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Superoscillations and Fock spaces
Journal of Mathematical Physics, 2023 In this paper we use techniques in Fock spaces theory and compute how the Segal-Bargmann transform acts on special wave functions obtained by multiplying superoscillating sequences with normalized Hermite functions. It turns out that these special wave functions can be constructed also by computing the approximating sequence of the normalized Hermite ...
Daniel Alpay +4 more
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