Results 51 to 60 of about 5,285,566 (268)

Weighted composition operators on the Fock space [PDF]

open access: yesOperators 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
semanticscholar   +1 more source

Complex symmetric differential operators on Fock space [PDF]

open access: yesJournal 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
semanticscholar   +1 more source

Fock space (2): Multiple fock spaces [PDF]

open access: yes, 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 ...
openaire   +1 more source

Exclusion statistics,operator algebras and Fock space representations

open access: yes, 1998
We study exclusion statistics within the second quantized approach. We consider operator algebras with positive definite Fock space and restrict them in a such a way that certain state vectors in Fock space are forbidden ab initio.We describe three ...
Bernard D   +39 more
core   +1 more source

Low-Lying States of the Six-Dimensional Fractional Superstring

open access: yes, 1992
The $K=4$ fractional superstring Fock space is constructed in terms of $\bZ_4$ parafermions and free bosons. The bosonization of the $\bZ_4$ parafermion theory and the generalized commutation relations satisfied by the modes of various parafermion fields
A.A. Belavin   +27 more
core   +1 more source

Boundedness and Compactness of Hankel Operators on Large Fock Space

open access: yesJournal 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
doaj   +1 more source

Permutation Invariant Algebras, a Fock Space Realization and the Calogero Model

open access: yes, 2002
We study permutation invariant oscillator algebras and their Fock space representations using three equivalent techniques, i.e. (i) a normally ordered expansion in creation and annihilation operators, (ii) the action of annihilation operators on monomial
Meljanac, S., Milekovic, M., Stojic, M.
core   +1 more source

Rectification by charging -- the physics of contact-induced current asymmetry in molecular conductors [PDF]

open access: yes, 2007
We outline the qualitatively different physics behind charging-induced current asymmetries in molecular conductors operating in the weakly interacting self-consistent field (SCF) and the strongly interacting Coulomb Blockade (CB) regimes.
A. W. Ghosh   +5 more
core   +3 more sources

Reconstructing configurational Hamiltonians from Fock space

open access: yesNuclear Physics B
We 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
doaj   +1 more source

Fluctuations around Hartree states in the mean-field regime [PDF]

open access: yes, 2015
We consider the dynamics of a large system of N interacting bosons in the mean-field regime where the interaction is of order 1/N. We prove that the fluctuations around the nonlinear Hartree state are generated by an effective quadratic Hamiltonian in ...
Lewin, Mathieu   +2 more
core   +2 more sources

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