Results 61 to 70 of about 3,896 (261)
Extended supersymmetries and the Dirac operator [PDF]
We consider supersymmetric quantum mechanical systems in arbitrary dimensions on curved spaces with nontrivial gauge fields. The square of the Dirac operator serves as Hamiltonian. We derive a relation between the number of supercharges that exist and restrictions on the geometry of the underlying spaces as well as the admissible gauge field ...
Kirchberg, A., Länge, J. D., Wipf, A.
openaire +2 more sources
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
Boundary Value Problems for the Perturbed Dirac Equation
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
The dirac operator on the fuzzy sphere [PDF]
The authors generalize results from the commutative geometry to the noncommutative case. They extend the coherent state approach to the fuzzy sphere by developing the noncommutative version of spinor calculus. Section 2 contains the reformulation of the standard spinor formalism of \(S^2\) to the more algebraic language.
Grosse, H., Prešnajder, P.
openaire +1 more source
Retina‐Inspired Bi‐Based Terahertz Photonic Neuromorphic Devices
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
wiley +1 more source
HYPERHOLOMORPHIC FUNCTIONS WITH VALUES IN A MODIFIED FORM OF QUATERNIONS
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
doaj +1 more source
Impedance of Nonelectroneutral Solid Electrolyte Interphases With Nanopores: A Theoretical Model
Physical modeling reveals that often‐neglected non‐electroneutrality and nanopores in the solid‐electrolyte interphase (SEI) govern the impedance behavior. Under nonreactive conditions, the low‐frequency constant‐phase element (CPE) phenomenon can be attributed to the nonelectroneutral local conditions in the SEI.
Chenkun Li, Jun Huang
wiley +1 more source
A theory on perturbations of the Dirac operator
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
Yukawa-Lorentz symmetry of interacting non-Hermitian birefringent Dirac fermions
The energy spectra of linearly dispersing gapless spin-3/2 Dirac fermions display birefringence, featuring two effective Fermi velocities, thus breaking the space-time Lorentz symmetry.
Sk Asrap Murshed, Bitan Roy
doaj +1 more source
Optimizing the heterointerface coverage of the conducting Ni2P nanoparticles on the surface of BVO photoanode manipulates the surface Fermi‐level modulation, which significantly enhances photoelectrochemical oxygen evolution reaction. Our multiscale simulations and experimental results reveal that an optimal Ni2P coverage of 9.4% pins the surface Fermi
Phuong Thi Pham +14 more
wiley +1 more source

