Results 31 to 40 of about 659,749 (230)
Entropy, 2017 We give an exposition of iterant algebra, a generalization of matrix algebra that is motivated by the structure of measurement for discrete processes. We show how Clifford algebras and matrix algebras arise naturally from iterants, and we then use this ...
Louis H. Kauffman
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Dirac geometry II: coherent cohomology
Forum of Mathematics, SigmaDirac rings are commutative algebras in the symmetric monoidal category of $\mathbb {Z}$ -graded abelian groups with the Koszul sign in the symmetry isomorphism.
Lars Hesselholt, Piotr Pstrągowski
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Particle dynamics and Lie-algebraic type of non-commutativity of space–time
Nuclear Physics B, 2018 In this paper, we present the results of our investigation relating particle dynamics and non-commutativity of space–time by using Dirac's constraint analysis.
Partha Nandi +2 more
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New canonical analysis for higher order topologically massive gravity
European Physical Journal C: Particles and Fields, 2021 A detailed Gitman–Lyakhovich–Tyutin analysis for higher-order topologically massive gravity is performed. The full structure of the constraints, the counting of physical degrees of freedom, and the Dirac algebra among the constraints are reported ...
Alberto Escalante +1 more
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The Dirac equation in an external electromagnetic field: symmetry algebra and exact integration [PDF]
, 2015 Integration of the Dirac equation with an external electromagnetic field is explored in the framework of the method of separation of variables and of the method of noncommutative integration. We have found a new type of solutions that are not obtained by
A. Breev, A. Shapovalov
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Some statistical aspects of the spinor field Fermi-Bose duality
Condensed Matter Physics, 2012 The structure of 29-dimensional extended real Clifford-Dirac algebra, which has been introduced in our paper Phys. Lett. A, 2011, Vol. 375, 2479, is considered in brief.
V.M. Simulik, I.Yu. Krivsky, I.L. Lamer
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Catalytic Electron‐Driven Non‐Equilibrium Phase Transition in Quantum Electronic Heterostructures
Advanced Science, EarlyView.This study proposes an innovative method to control the phase of heterostructured materials via electron flow manipulation. Leveraging this technique, a new topological phase is achieved that hosts excitons at the interface of a topological insulator.
Byung Cheol Park +5 more
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The space of Dunkl monogenics associated with Z23
Nuclear 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
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Low‐Energy Atomic Scattering: S‐Wave Relation Between the Interaction Potential and the Phase Shift
Annalen der Physik, EarlyView.The validity of the on‐shell approximation for s‐wave scattering is examined across one, two, and three dimensions using exactly solvable model interaction potentials. By comparing exact and approximate s‐wave components of the interaction potential, the analysis reveals that the approximation improves with increasing momentum and decreasing ...
Francesco Lorenzi, Luca Salasnich
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Dirac algebra formalism for Two Higgs Doublet Models: The one-loop effective potential
Physics Letters BWe present a novel covariant bilinear formalism for the Two Higgs Doublet Model (2HDM) which utilises the Dirac algebra associated with the SL(2,C) group that acts on the scalar doublet field space.
Apostolos Pilaftsis
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