Results 41 to 50 of about 2,222 (252)
Stochastic integration in Fock space [PDF]
Pacific Journal of Mathematics, 1986 This paper uses elementary Hilbert-space techniques to construct an analogue of the Itô integral, the 'integral' taking values in the symmetric Fock space of a direct integral \(\bar {\mathcal H}\) of Hilbert spaces over the real line. (The case \(\bar {\mathcal H}=L^ 2[0,\infty)\) yields the classical Itô integral.) An explicit formula is obtained for
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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.
Alpay D., Colombo F., Sabadini I.
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Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics
Advanced Materials, EarlyView.The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades +7 more
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Non-Commutative Analysis on Quantum Spaces [PDF]
, 2004 Tools like a generalized *-product, a Leibniz rule and an integration needed for Analysis on Quantum Spaces such as n-dimensional q-deformed Euclidean space are ...
Jambor, Claudia
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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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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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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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On Determination Method for Resolution of Secondary Electron Images in Scanning Electron Microscopy
Advanced Science, EarlyView.An idealized SEM, termed Rayleigh's microscope, is constructed by Monte Carlo simulation to represent imaging conditions that just satisfy the Rayleigh criterion. Based on this physically defined model, sharpness–resolution conversion curves are established and combined with the Rose criterion, enabling automated resolution evaluation from practical ...
Tongfang Yang, Yanbo Zou, Zejun Ding
wiley +1 more source
Quantum stochastic operator cocycles via associated semigroups. [PDF]
, 2005 A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert space, in terms of their associated semigroups, yields a general principle for the construction of such cocycles by approximation of their stochastic ...
Wills, S. J. +3 more
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De Branges spaces and Fock spaces
, 2017 International audienceRelations between two classes of Hilbert spaces of entire functions, de Branges spaces and Fock-type spaces with nonradial weights, are studied.
Anton Baranov +3 more
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