Results 51 to 60 of about 7,226 (315)

EXTENSION OF TENSOR PRODUCT FOR OPERATORS ON THE DIRAC OPERATOR EXAMPLE [PDF]

Научно-технический вестник информационных технологий, механики и оптики, 2014
The paper deals with extension method for the operator which is a sum of tensor products. Boundary triplets approach is used. One of the operators is considered to be densely defined and symmetric with equal deficiency indices, the other one is ...
A. A. Boitsev, H. Neidhardt, I. Y. Popov
doaj  

Electrically Tunable On‐Chip Topological Photonics with Integrated Carbon Nanotubes

Advanced Functional Materials, EarlyView.
This work demonstrates electrically tunable on‐chip topological THz devices by integrating 2D carbon nanotube (CNT) sheets with valley‐Hall photonic crystals, enabling broadband transmission modulation (71% modulation depth) and tunable narrowband filtering (0.54 GHz shift) through electrically induced thermal tuning. This advancement paves the way for
Jifan Yin, Wenhao Wang, Thomas Caiwei Tan, Abhishek Kumar, Ridong Jia, Nikhil Navaratna, Ranjan Singh, Lijuan Xie   +7 more
wiley   +1 more source

A Fractional Dirac System with Eigenparameter-Dependent and Transmission Conditions

Fractal and Fractional
This work investigates the fractional Dirac system that has transmission conditions, and its boundary condition contains an eigenparameter. Defining a convenient inner product space and a new operator that has the same eigenvalues as the considered ...
Abdullah Kablan, Fulya Şahantürk
doaj   +1 more source

Riemannian foliations and the kernel of the basic Dirac operator

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In this paper, in the special setting of a Riemannian foliation en- dowed with a bundle-like metric, we obtain conditions that force the vanishing of the kernel of the basic Dirac operator associated to the metric; this way we extend the traditional ...
Slesar Vladimir
doaj   +1 more source

Self-adjointness for Dirac operators via Hardy-Dirac inequalities [PDF]

Journal of Mathematical Physics, 2007
Distinguished self-adjoint extensions of Dirac operators are constructed for a class of singular potentials including Coulombic ones up to (and including) the critical case, −∣x∣−1. The method uses Hardy-Dirac inequalities and quadratic form techniques.
Esteban, Maria J., Loss, Michael
openaire   +4 more sources

Coupled Ferroelectric–Photoelectrochemical in Water Reduction Over BiFeO3 Thin Film Heterostructure Modulated by Rare‐Earth Doping

Advanced Functional Materials, EarlyView.
Gd‐doped BFO (BGFO) exhibits a ∼2‐order reduction in leakage current owing to its lowest content of oxygen vacancies. This leads to a ∼2.5‐fold increase in remnant polarization. These improvements in BGFO effectively boost charge separation and transportation, resulting in the greatest incident photon‐to‐current efficiency of 12.9 ± 0.73% and a ∼1.5 ...
Ming‐Wei Chu, Narong Chanlek, Cheng‐Sao Chen, Pin‐Yi Chen, Kuei‐Chih Feng, Chi‐Shun Tu, Chang Fu Dee, Wei Sea Chang   +7 more
wiley   +1 more source

DIRAC OPERATORS ON QUANTUM-TWO SPHERES [PDF]

Modern Physics Letters A, 1994
We investigate the spin-1/2 fermions on quantum-two spheres. It is shown that the wave functions of fermions and a Dirac operator on quantum-two spheres can be constructed in a manifestly covariant way under the quantum group SU (2)q. The concept of total angular momentum and chirality can be expressed by using q-analog of Pauli-matrices and ...
Ohta, Kazutoshi, Suzuki, Hisao
openaire   +3 more sources

Quantifying Spin Defect Density in hBN via Raman and Photoluminescence Analysis

Advanced Functional Materials, EarlyView.
An all‐optical method is presented for quantifying the density of boron vacancy spin defects in hexagonal boron nitride (hBN). By correlating Raman and photoluminescence signals with irradiation fluence, defect‐induced Raman modes are identified and established an relationship linking optical signatures to absolute defect densities. This enables direct
Atanu Patra, Paul Konrad, Andreas Sperlich, Timur Biktagirov, Wolf Gero Schmidt, Lesley Spencer, Igor Aharonovich, Sven Höfling, Vladimir Dyakonov   +8 more
wiley   +1 more source

Spectrally Tunable 2D Material‐Based Infrared Photodetectors for Intelligent Optoelectronics

Advanced Functional Materials, EarlyView.
Intelligent optoelectronics through spectral engineering of 2D material‐based infrared photodetectors. Abstract The evolution of intelligent optoelectronic systems is driven by artificial intelligence (AI). However, their practical realization hinges on the ability to dynamically capture and process optical signals across a broad infrared (IR) spectrum.
Junheon Ha, Yingshan Ma, Yong Nam An, Sung‐Un An, Hyeon Hak Jung, Suvi‐Tuuli Varjamo, Jiwon Yoo, Junho Min, Hanvit Kim, Faisal Ahmed, Sang Hoon Chae, Young Min Song, Weiwei Cai, Tawfique Hasan, Zhipei Sun, Dong‐Ho Kang, Hyeon‐Jin Shin, Yunyun Dai, Hoon Hahn Yoon   +18 more
wiley   +1 more source

Boundary Value Problems for the Perturbed Dirac Equation

Axioms
The perturbed Dirac operators yield a factorization for the well-known Helmholtz equation. In this paper, using the fundamental solution for the perturbed Dirac operator, we define Cauchy-type integral operators (singular integral operators with a Cauchy
Hongfen Yuan, Guohong Shi, Xiushen Hu
doaj   +1 more source