Results 101 to 110 of about 1,518 (237)

Monogenic Functions in Conformal Geometry

open access: yesSymmetry, 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  

Yukawa-Lorentz symmetry in non-Hermitian Dirac materials

open access: yesCommunications 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

open access: yesEuropean 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   +2 more
doaj   +1 more source

Dirac Theory in Noncommutative Phase Spaces

open access: yesPhysics
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

The Dirac algebra and grand unification

open access: yes, 2001
A representation of the Dirac algebra, derived from first principles, can be related to the combinations of unit charges which determine particle structures. The algebraic structure derives from a broken symmetry between 4-vectors and quaternions which can be applied to the broken symmetry between the three nongravitational interactions.
Rowlands, Peter, Cullerne, J. P.
openaire   +2 more sources

Perturbed Dirac Operators and Boundary Value Problems

open access: yesAxioms
In this paper, the time-independent Klein-Gordon equation in R3 is treated with a decomposition of the operator Δ−γ2I by the Clifford algebra Cl(V3,3).
Xiaopeng Liu, Yuanyuan Liu
doaj   +1 more source

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