Graded Fock--like representations for a system of algebraically interacting paraparticles
We will present an algebra describing a mixed paraparticle model, known in the bibliography as "The Relative Parabose Set (\textsc{Rpbs})". Focusing in the special case of a single parabosonic and a single parafermionic degree of freedom $P_{BF}^{(1,1)}$,
Alfredo Herrera-Aguilar +3 more
core +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
Riesz bases of reproducing kernels in Fock type spaces
In a scale of Fock spaces $\mathcal F_\varphi$ with radial weights $\varphi$ we study the existence of Riesz bases of (normalized) reproducing kernels. We prove that these spaces possess such bases if and only if $\varphi(x)$ grows at most like $(\log x)^
Borichev, A., Lyubarskii, Yu.
core +3 more sources
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
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
Spectral multiplier theorems for abstract harmonic oscillators on UMD lattices
We consider operators acting on a UMD Banach lattice $X$ that have the same algebraic structure as the position and momentum operators associated with the harmonic oscillator $-\frac{1}{2}\Delta + \frac{1}{2}|x|^{2} $ acting on $L^{2}(\mathbb{R}^{d ...
van Neerven, Jan +2 more
doaj +1 more source
A Quest for the Mechanism of Ultrahigh Resolution SEM Imaging
Using Monte Carlo simulations with explicit definitions of SE1 and SE2 align with a cascade secondary electron production model, this work shows that the 3D nanostructure modulated SE2 emission enhances other than to reduce topographical contrast via a “miniature Faraday cup” effect.
Hao Tian Chen +3 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
Photonuclear Population of 229m,gTh in Th‐Doped Crystals Toward Nuclear Clock Development
This study demonstrates a novel photonuclear approach for producing the nuclear clock isomer 229mTh in thorium‐doped crystals, overcoming current supply limitations. Through cross‐section calculations and Monte Carlo simulations, we identify optimal crystal materials and irradiation conditions, achieving high signal‐to‐noise ratios.
Hao‐Yang Lan +9 more
wiley +1 more source

