Results 61 to 70 of about 509,496 (250)
A theory on perturbations of the Dirac operator
Journal of Inequalities and Applications, 1999 We consider perturbations of a first-order differential operator with matrix coefficients known as the Dirac operator. These operators have one singular point which is allowed to be either zero or infinity.
Melescue Suzanne Collier
doaj
A Fractional Dirac System with Eigenparameter-Dependent and Transmission Conditions
Fractal and FractionalThis 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
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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
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Advanced Science, EarlyView.Interlayer sliding in the RuO2Zn2F2 bilayer induces ferroelectricity and enables reversible valley polarization switching. The electric dipole and valley‐resolved band edges are intimately coupled, revealing sliding ferroelectricity as a powerful mechanism for electrical control of valley degrees of freedom in 2D materials.
Djamel Bezzerga +3 more
wiley +1 more source
Retina‐Inspired Bi‐Based Terahertz Photonic Neuromorphic Devices
Advanced Science, EarlyView.Combined with effective band alignment and substrate engineering, bismuth materials are introduced to form terahertz photonic bio‐inspired devices with picosecond short‐term plasticity to enable multi‐scene visual perception. Thus obtained hardware through the terahertz optical neural network (THz‐ONN) demonstrates high recognition accuracy, providing ...
Pujing Zhang +14 more
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Boundary Value Problems for the Perturbed Dirac Equation
AxiomsThe 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
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Exact pseudofermion action for Monte Carlo simulation of domain-wall fermion
Physics Letters B, 2014 We present an exact pseudofermion action for hybrid Monte Carlo simulation (HMC) of one-flavor domain-wall fermion (DWF), with the effective 4-dimensional Dirac operator equal to the optimal rational approximation of the overlap-Dirac operator with ...
Yu-Chih Chen, Ting-Wai Chiu
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Advanced Science, EarlyView.A novel multiscale MD/DFT framework to elucidate microenzyme adsorption and electron transfer is reported. This method reveals distinct configurations for microperoxidase‐11 on graphene and those best suited for electron transfer. Rate constants align with the limited experimental data, establishing this framework as a tool for optimizing microenzyme ...
Milan Mijajlovic +6 more
wiley +1 more source
Effective theories of finite volume QCD [PDF]
, 2008 Finite volume QCD close to the chiral limit cannot be described by chiral Perturbation Theory using the usual p-expansion when the correlation length of pions becomes larger than the size of the box.
BASILE, FRANCESCO
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HYPERHOLOMORPHIC FUNCTIONS WITH VALUES IN A MODIFIED FORM OF QUATERNIONS
Проблемы анализа, 2020 We give the definition of hyperholomorphic pseudocomplex functions, i. e., functions with values in a special form of quaternions, and propose the necessary variables, functions, and Dirac operators to describe the Cauchy integral theorem and the ...
Ji Eun Kim
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