Results 41 to 50 of about 5,161,923 (254)
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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Complex structures on jet spaces and bosonic Fock space dynamics for causal variational principles [PDF]
, 2018 Based on conservation laws for surface layer integrals for minimizers of causal variational principles, it is shown how jet spaces can be endowed with an almost-complex structure.
F. Finster, N. Kamran
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Weighted composition operators on the Fock space [PDF]
Operators and Matrices, 2018 In this paper, we study weighted composition operators on the Fock space. We show that a weighted composition operator is cohyponorma if and only if it is normal.
M. Fatehi
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Investigations of the numerical range of a operator matrix
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 We consider a $2\times2$ operator matrix $A$ (so-called generalized Friedrichs model) associated with a system of at most two quantum particles on ${\rm d}$-dimensional lattice.
Tulkin Kh Rasulov, Elyor B Dilmurodov
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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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Complex symmetric differential operators on Fock space [PDF]
Journal of Differential Equations, 2018 The space of entire functions which are integrable with respect to the Gaussian weight, known also as the Fock space, is one of the preferred functional Hilbert spaces for modelling and experimenting harmonic analysis, quantum mechanics or spectral ...
P. V. Hai, M. Putinar
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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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Fock space (2): Multiple fock spaces [PDF]
, 1993 From the algebraic point of view, a multiple Fock space over ℌ is nothing but a standard (symmetric or antisymmetric) Fock space over a direct sum of copies of ℌ,and new definitions are not necessary in principle. However, this chapter contains important new notation, and a few rather interesting constructions, like that of the “finite-temperature ...
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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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Reconstructing configurational Hamiltonians from Fock space
Nuclear Physics BWe present a unified operator-based framework for reconstructing configuration-space Hamiltonians directly from their Fock-space formulations. This approach clarifies how local dynamics and geometric structure emerge from global quantum operator algebras.
Davood Momeni
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