Results 121 to 130 of about 2,501 (221)

Dirac operators for algebraic families

Advances in Mathematics
We introduce algebraic families of Dirac operators for the deformation family (and other related families) associated with a real reductive Lie group that interpolates the reductive group and the corresponding Cartan motion group. We prove Vogan's conjecture in this setting, relating the infinitesimal character of an algebraic family of Harish-Chandra ...
Afentoulidis-Almpanis, Spyridon, Subag, Eyal   +1 more
openaire   +2 more sources

GEOMETRIZED VACUUM PHYSICS. PART II: ALGEBRA OF SIGNA-TURES

Avances en Ciencias e Ingeniería, 2023
This article is the second part of a scientific project under the general name "Geometrized vacuum physics". On the basis of the Algebra of Stignatures presented in the previous article (Batanov-Gaukhman, 2023), this article devel-ops the main provisions
Mikhail Batanov-Gaukhman
doaj  

Lorentz-covariant deformed algebra with minimal length and application to the (1 + 1)-dimensional Dirac oscillator

, 2006
The D-dimensional (β, β′)-two-parameter deformed algebra introduced by Kempf is generalized to a Lorentz-covariant algebra describing a (D + 1)-dimensional quantized spacetime. In the D ≤ 3 and β ≤ 0 case, the latter reproduces Snyder algebra.
Tkachuk, Volodymyr, Quesne, Christiane
core   +1 more source

Monogenic Functions in Conformal Geometry

Symmetry, Integrability and Geometry: Methods and Applications, 2007
Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain system of first order differential equations, usually referred to as the ...
Michael Eastwood, John Ryan
doaj  

Part II: Spacetime Algebra of Dirac Spinors

, 2015
In Part I: Vector Analysis of Spinors, the author studied the geometry of two component spinors as points on the Riemann sphere in the geometric algebra G3 of three dimensional Euclidean space. Here, these ideas are generalized to apply to four component
Garret Sobczyk
core  

Yukawa-Lorentz symmetry in non-Hermitian Dirac materials

Communications Physics
Lorentz space–time symmetry represents a unifying feature of the fundamental forces, typically manifest at sufficiently high energies, while in quantum materials it emerges in the deep low-energy regime.
Vladimir Juričić, Bitan Roy
doaj   +1 more source

Symplectic quantization and general constraint structure of a prototypical second-class system

European Physical Journal C: Particles and Fields
We discuss a general prototypical constrained Hamiltonian system with a broad application in quantum field theory and similar contexts where dynamics is defined through a functional action obeying a stationarity principle.
Ignacio S. Gomez, Vipul Kumar Pandey, Ronaldo Thibes   +2 more
doaj   +1 more source

Dirac Theory in Noncommutative Phase Spaces

Physics
Based on the position and momentum of noncommutative relations with a noncanonical map, we study the Dirac equation and analyze its parity and time reversal symmetries in a noncommutative phase space.
Shi-Dong Liang
doaj   +1 more source

Convolution equation and operators on the euclidean motion group

Journal of Nigerian Society of Physical Sciences
Let $G = \mathbb{R}^2\rtimes SO(2)$  be the Euclidean motion group, let g be the Lie algebra of G and let U(g) be the universal enveloping algebra of g.
U. N. Bassey, U. E. Edeke
doaj   +1 more source

Superstructures on graded phase space [PDF]

, 1988
In this thesis we study problems associated with the generalisation, to include Grassmann type variables, of the 'group theoretical' approach to quantisation of C.Isham [37].
Speares, William, Speares, W
core