Results 21 to 30 of about 1,132 (169)

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, Nikola Paunkovic, Marko Vojinovic   +2 more
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Approximating the Fock space with the toy Fock space [PDF]

, 2003
I. The toy Fock space II. The Fock space III. Embedding the toy Fock space into the Fock space IV. Projections on the toy Fock space V. Approximations VI. Probabilistic interpretations VII.
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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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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

Mathematics
There 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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On Stopping Fock-Space Processes [PDF]

Journal of Theoretical Probability, 2018
We consider the theory of stopping bounded processes within the framework of Hudson--Parthasarathy quantum stochastic calculus, for both identity and vacuum adaptedness. This provides significant new insight into Coquio's method of stopping (J. Funct. Anal. 238:149-180, 2006).
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The Dirac oscillator, generalised parastatistics and colour Lie superalgebras

Nuclear Physics B
We study the Dirac oscillator in one, two and three spatial dimensions, showing that the corresponding ladder operators realise the Z2×Z2-graded Lie superalgebras pso(3|2), pso(3|4) and osp01(1|2)⊕sl10(1|1).
Phillip S. Isaac, Mitchell Ryan
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Extremal Problems in the Fock Space [PDF]

Computational Methods and Function Theory, 2010
This well-written paper investigates some extremal problems in the Fock space. The Fock space, \(F^2\), consists of those entire functions \(f\) for which \(\|f\|_{2}^2=\int_{\mathbb C}|f(z)|^2 e^{-|z|^2}\,dA(z)
Bénéteau, Catherine, Carswell, Brent J., Kouchekian, Sherwin   +2 more
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Hankel Operators on Fock Spaces [PDF]

, 2013
We study Hankel operators on the weighted Fock spaces\ud Fp. The boundedness and compactness of these operators are characterized in terms of BMO and VMO, respectively. Along the way, we also study Berezin transform and harmonic conjugates on the plane.
Perala, A., Schuster, A., Virtanen, Jani A.   +2 more
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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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