Results 51 to 60 of about 2,501 (221)
The local spectrum of the Dirac operator for the universal cover of SL_2(R)
, 2016 Using representation theory, we compute the spectrum of the Dirac operator on the universal covering group of SL2(R)SL2(R), exhibiting it as the generator of KK1(C,A)KK1(C,A), where AA is the reduced C?C?-algebra of the group.
Wright, Nick +8 more
core +1 more source
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
doaj +1 more source
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
doaj +1 more source
Two families of Dirac-like operators for Drinfeld's Hecke algebra [PDF]
, 2022 In this paper we define two generalisations of Dirac operators for Drinfeld's Hecke algebra. One generalisation, Parthasarathy operators inherit the notion of the Dirac inequality.
Calvert, Kieran
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Representations up to homotopy of Lie algebroids [PDF]
, 2011 We introduce and study the notion of representation up to homotopy of a Lie algebroid, paying special attention to examples. We use representations up to homotopy to define the adjoint representation of a Lie algebroid and show that the resulting ...
Marius Crainic +7 more
core +1 more source
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
doaj +1 more source
Dirac-Algebra: Kurz und schmerzlos
, 2021 Im Bereich von Informatik und Software-Entwicklung wird die Dirac-Algebra zur Modellierung hyperbolischer und konformer Räume eingesetzt. Es ist deshalb sinnvoll, Lernenden eine Einführung in die Dirac-Algebra zu eröffnen, die auf die Thematisierung des ...
Horn, Martin Erik
core
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
doaj +1 more source
Long‐Range Interactions in Topological Superconducting Systems: A Mini Review
Advanced Physics Research, EarlyView.Long‐range interacting quantum systems are surveyed in this review, with an emphasis on the long‐range topological superconductor and its variants. Long‐range interactions decaying in a power‐law manner can lead to exotic phenomena that finds no analogue in short‐range regimes.
Juntong Ren, Haifeng Lü
wiley +1 more source
Uniqueness of Galilean conformal electrodynamics and its dynamical structure
Journal of High Energy Physics, 2019 We investigate the existence of action for both the electric and magnetic sectors of Galilean Electrodynamics using Helmholtz conditions. We prove the existence of unique action in magnetic limit with the addition of a scalar field in the system.
Kinjal Banerjee +2 more
doaj +1 more source