Results 61 to 70 of about 2,501 (221)

The space of Dunkl monogenics associated with Z23

open access: yesNuclear Physics B, 2022
The universal Bannai–Ito algebra BI is a unital associative algebra over C generated by X,Y,Z and the relations assert that each of{X,Y}−Z,{Y,Z}−X,{Z,X}−Y commutes with X,Y,Z. Let n≥0 denote an integer.
Hau-Wen Huang
doaj   +1 more source

Theory of Supercritical Coupling and Generalized Bound States in the Continuum

open access: yesLaser &Photonics Reviews, EarlyView.
We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri   +3 more
wiley   +1 more source

Dirac operators and lie algebra cohomology

open access: yes, 2006
Dirac cohomology is a new tool used to study unitary and admissible representations of semisimple Lie groups. It was introduced by Vogan and further studied by Kostant and ourselves.
Huang, Jing Song   +2 more
core   +1 more source

SYMPLECTIC DIRAC OPERATORS FOR LIE ALGEBRAS AND GRADED HECKE ALGEBRAS

open access: yesTransformation Groups, 2022
26 ...
Ciubotaru, D, De Martino, M, Meyer, P
openaire   +4 more sources

Extending the hyper‐logistic model to the random setting: New theoretical results with real‐world applications

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés   +2 more
wiley   +1 more source

Global surpluses of spin-base invariant fermions

open access: yesPhysics Letters B, 2015
The spin-base invariant formalism of Dirac fermions in curved space maintains the essential symmetries of general covariance as well as similarity transformations of the Clifford algebra.
Holger Gies, Stefan Lippoldt
doaj   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar   +3 more
wiley   +1 more source

κ-Deformation of an extended Dirac oscillator

open access: yesResults in Physics, 2019
We study a deformation, based on the κ-Poincaré-Hopf algebra, of an extended version of the Dirac oscillator, where the latter is coupled to a pseudoscalar Coulomb potential.
Yassine Chargui
doaj   +1 more source

Renormalization techniques for inflation systems and some of their applications

open access: yesActa Crystallographica Section A, EarlyView.
In this work, renormalization methods for quantities related to the diffraction of inflation systems are surveyed.Exact renormalization techniques are important and powerful, particularly for inflation‐generated systems. We review recent results in this direction.
Michael Baake   +4 more
wiley   +1 more source

Projective Dirac Operators, Twisted K-Theory, and Local Index Formula [PDF]

open access: yes, 2011
We construct a canonical noncommutative spectral triple for every oriented closed Riemannian manifold, which represents the fundamental class in the twisted K-homology of the manifold.
Zhang, D., Zhang, Dapeng, Dapeng Zhang
core   +1 more source

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