Results 31 to 40 of about 31,317 (214)
Toeplitz quantization on Fock space [PDF]
For Toeplitz operators $T_f^{(t)}$ acting on the weighted Fock space $H_t^2$, we consider the semi-commutator $T_f^{(t)}T_g^{(t)}-T_{fg}^{(t)}$, where $t>0$ is a certain weight parameter that may be interpreted as Planck's constant $\hbar$ in Rieffel's deformation quantization.
Bauer, Wolfram +2 more
openaire +2 more sources
Parafermions, parabosons and representations of so(\infty) and osp(1|\infty)
The goal of this paper is to give an explicit construction of the Fock spaces of the parafermion and the paraboson algebra, for an infinite set of generators. This is equivalent to constructing certain unitary irreducible lowest weight representations of
Gel'fand I. M. +6 more
core +1 more source
The Dirac oscillator, generalised parastatistics and colour Lie superalgebras
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
doaj +1 more source
Superatom molecular orbitals (SAMOs) are atom-like molecular orbitals that have been observed in the buckminsterfullerene C60 molecule. We studied the ice-like water cluster (H2O)10 that is expected to be ubiquitous in nature in nanoscale ...
Javier Hernandez-Ortega +4 more
doaj +1 more source
Inducing Ferromagnetism by Structural Engineering in a Strongly Spin‐Orbit Coupled Oxide
ABSTRACT Magnetic materials with strong spin‐orbit coupling (SOC) are essential for the advancement of spin‐orbitronic devices, as they enable efficient spin‐charge conversion, complex magnetic structures, spin‐valley physics, topological phases and other exotic phenomena.
Ji Soo Lim +19 more
wiley +1 more source
On energy and particle production in cosmology: the particular case of the gravitino
It 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
doaj +1 more source
Solvent Co‐Intercalation Enabled Ca Storage in MoS2 for Ca‐Ion Batteries
Regulating electrolyte solvation levels enables otherwise non‐intercalatable Ca2+ ions to reversibly co‐intercalate into molybdenum disulfide (MoS2) as ether‐solvated species. The intercalation reversibility is strongly governed by solvent chain length, as demonstrated using diethylene glycol dimethyl ether (G2) and tetraethylene glycol dimethyl ether (
Yudong Luo +10 more
wiley +1 more source
A matrix acting between Fock spaces
If H ν = ( ν n , k ) n , k ≥ 0 $\mathcal{H}_{\nu}=(\nu _{n,k})_{n,k\geq 0}$ is the matrix with entries ν n , k = ∫ [ 0 , ∞ ) t n + k n ! d ν ( t ) $\nu _{n,k}=\int _{[0,\infty )}\frac{ t^{n+k}}{n!}\,d\nu (t)$ , where ν is a nonnegative Borel measure on ...
Zhengyuan Zhuo +2 more
doaj +1 more source
Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics
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
wiley +1 more source
Localization and Toeplitz Operators on Polyanalytic Fock Spaces [PDF]
The well know conjecture of {\it Coburn} [{\it L.A. Coburn, {On the Berezin-Toeplitz calculus}, Proc. Amer. Math. Soc. 129 (2001) 3331-3338.}] proved by {\it Lo} [{\it M-L. Lo, {The Bargmann Transform and Windowed Fourier Transform}, Integr. equ.
Faustino, Nelson
core

