Results 71 to 80 of about 48,147 (187)

Bilinear Spinor Representation of Space-Time [PDF]

open access: yesProgress of Theoretical Physics, 1976
In this work a method of realizing the bilinear spinor representation of space-time 1s suggested, in which the usual translation transformation can be established. The basic spinors introduced are the quantities having the spinor structure with respect to the Lorentz transformation group and the isotopic transformation group as well. In the language of
openaire   +1 more source

Principal series representations and harmonic spinors

open access: yesAdvances in Mathematics, 2006
Let \(G\) be a real reductive Lie group and \(G/H\) a reductive homogeneous space. The authors consider Kostants cubic Dirac operator \(D\) on \(G/H\) twisted with a finite-dimensional representation of \(H\). Under the assumption that \(G\) and \(H\) have the same complex rank, the authors construct a nonzero intertwining operator from principal ...
Mehdi, S., Zierau, R.
openaire   +2 more sources

Master formulas for the dressed scalar propagator in a constant field

open access: yesNuclear Physics B, 2017
The worldline formalism has previously been used for deriving compact master formulas for the one-loop N-photon amplitudes in both scalar and spinor QED, and in the vacuum as well as in a constant external field.
Aftab Ahmad   +4 more
doaj   +1 more source

On Spinor Varieties and Their Secants

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
We study the secant variety of the spinor variety, focusing on its equations of degree three and four. We show that in type Dn, cubic equations exist if and only if n ≥ 9. In general the ideal has generators in degrees at least three and four. Finally we
Laurent Manivel
doaj   +1 more source

Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2010
The algebraic structure and the spectral properties of a special class of multi-component NLS equations, related to the symmetric spaces of BD.I-type are analyzed.
Georgi G. Grahovski   +1 more
doaj   +1 more source

The Spinor Representation of Minimal Surfaces

open access: yes, 1995
The spinor representation is developed and used to investigate minimal surfaces in ${\bfR}^3$ with embedded planar ends. The moduli spaces of planar-ended minimal spheres and real projective planes are determined, and new families of minimal tori and Klein bottles are given.
Kusner, Rob, Schmitt, Nick
openaire   +2 more sources

The use of non-dispersive soliton-like fiber optic vortices to increase the efficiency of RoF systems

open access: yesФизика волновых процессов и радиотехнические системы, 2019
In this article, the propagation of soliton-like vortex beams in the optical segment of a Radio-over-Fiber system is discussed. The approach is based on the solution of the nonlinear Schrdinger equation for the Kerr nonlinear medium like optical fiber. A
I.L. Vinogradova   +5 more
doaj   +1 more source

General expressions for extra-dimensional tree amplitudes and all-plus 1-loop integrands in $$\mathcal {Q}$$ Q -cut representation

open access: yesEuropean Physical Journal C: Particles and Fields, 2018
In this paper, we give the general expressions for a special series of tree amplitudes of the Yang–Mills theory. This series of amplitudes have two adjacent massless spin-1 particles with extra-dimensional momenta and any number of positive helicity ...
Yang An, Yi Li
doaj   +1 more source

SPINOR REPRESENTATIONS OF PAFORS IN E3

open access: yesJournal of Science and Arts
In this paper, we introduce the spinor representations of PAFORS for the trajectories endowed with PAFORS on regular surfaces of Euclidean -space . We find the spinor equations of PAFORS vectors. Moreover, we obtain the relations between spinor representations of PAFORS and Darboux frame.
ZEHRA İŞBİLİR   +2 more
openaire   +1 more source

QUANTUM COMPUTING FOR MULTI-QUBIT SYSTEMS USING SCHWINGER REPRESENTATION OF ANGULAR MOMENTUM

open access: yesJournal of Engineering Science (Chişinău)
This paper deals with thefeaturesof quantum computing for a system containing a relatively large number of qubits n, which is characterized by a half-integer effective spin S in the Schwingerrepresentation of paired bosons.
GERU, Ion
doaj   +1 more source

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