Results 1 to 10 of about 5,161,923 (254)

Monopole-fermion scattering and varying Fock space [PDF]

open access: yesJournal 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
doaj   +2 more sources

Fock Space Dualities [PDF]

open access: yesBulgarian 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
K. Neergård
openaire   +6 more sources

Generalized Fock space and contextuality. [PDF]

open access: yesPhilos 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.
europepmc   +6 more sources

Variable exponent Fock spaces [PDF]

open access: yesCzechoslovak 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.
openaire   +3 more sources

On the Fock Kernel for the Generalized Fock Space and Generalized Hypergeometric Series

open access: yesJournal 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
doaj   +1 more source

Quantum Current Algebra in Action: Linearization, Integrability of Classical and Factorization of Quantum Nonlinear Dynamical Systems

open access: yesUniverse, 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
doaj   +1 more source

Matrices related to some Fock space operators [PDF]

open access: yesOpuscula 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
doaj   +1 more source

Relativistic Brueckner-Hartree-Fock Theory in Infinite Nuclear Matter [PDF]

open access: yesEPJ Web of Conferences, 2021
On the way of a microscopic derivation of covariant density functionals, the first complete solution of the relativistic Brueckner-Hartree-Fock (RBHF) equations is presented for symmetric nuclear matter.
Ring Peter   +3 more
doaj   +1 more source

Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space

open access: yesJournal of Mathematics, 2023
In this paper, we consider the dual Toeplitz operators on the orthogonal complement of the Fock–Sobolev space and characterize their boundedness and compactness.
Li He, Biqian Wu
doaj   +1 more source

Toeplitz Operators with IMOs Symbols between Generalized Fock Spaces

open access: yesJournal 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
doaj   +1 more source

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