Results 31 to 40 of about 9,218,372 (188)

DRINFEL'D TWIST AND q-DEFORMING MAPS FOR LIE GROUP COVARIANT HEISENBERG ALGEBRAE [PDF]

Reviews in Mathematical Physics, 2000
Any deformation of a Weyl or Clifford algebra can be realized through a change of generators in the undeformed algebra. q-deformations of Weyl or Clifford algebrae that were covariant under the action of a simple Lie algebra g are characterized by their being covariant under the action of the quantum group Uhg, q:=eh. We present a systematic procedure
openaire   +4 more sources

Higher-dimensional automorphic lie algebras [PDF]

, 2016
The paper presents the complete classification of Automorphic Lie Algebras based on sln(C)sln(C) , where the symmetry group G is finite and acts on sln(C)sln(C) by inner automorphisms, sln(C)sln(C) has no trivial summands, and where the poles are in ...
Sanders, Jan, Sara Lombardo (4425862), Knibbeler, Vincent; id_orcid, Sara Lombardo, Jan A. Sanders, Knibbeler, Vincent, Vincent Knibbeler (4742670), Jan A Sanders (8467083), Lombardo, Sara, Sanders, Jan A., Lombardo, Sara; id_orcid, Vincent Knibbeler   +11 more
core   +2 more sources

Groups, Special Functions and Rigged Hilbert Spaces

Axioms, 2019
We show that Lie groups and their respective algebras, special functions and rigged Hilbert spaces are complementary concepts that coexist together in a common framework and that they are aspects of the same mathematical reality.
Enrico Celeghini, Manuel Gadella, Mariano A. del Olmo   +2 more
doaj   +1 more source

Geometrical Applications of Split Octonions

Advances in Mathematical Physics, 2015
It is shown that physical signals and space-time intervals modeled on split-octonion geometry naturally exhibit properties from conventional (3 + 1)-theory (e.g., number of dimensions, existence of maximal velocities, Heisenberg uncertainty, and particle
Merab Gogberashvili, Otari Sakhelashvili
doaj   +1 more source

Diverse Landscape of Tunable Magnetic, Topological, and Ferroelectric States in 2D Ti3Se3Te2

Advanced Science, EarlyView.
Ti3Se3Te2 emerges as a multifunctional 2D van der Waals platform. The monolayer is a dynamically stable ferromagnetic quantum anomalous Hall insulator. In bilayers, two stacking configurations yield distinct phases: AA‐stacking hosts an altermagnetic quantum spin Hall insulator, while AA′‐stacking exhibits three‐state in‐plane ferroelectricity ...
Jiangtao Yu, Jingbo Bai, Yali Yang, Shifeng Qian, Xiaotian Wang, Zhuhong Liu   +5 more
wiley   +1 more source

Conformally Einstein Lorentzian Lie Groups with Heisenberg Symmetry

Results in Mathematics
We describe all Lorentzian semi-direct extensions of the Heisenberg group which are conformally Einstein. As a by side result, Bach-flat left-invariant Lorentzian metrics on semi-direct extensions of the Heisenberg group are classified, thus providing new background solutions in conformal gravity.
E. Calviño-Louzao, E. García-Río, I. Gutiérrez-Rodríguez, R. Vázquez-Lorenzo   +3 more
openaire   +4 more sources

Superatom Distortion Induces Triferroicity and Spin Splitting in Two‐Dimensional Antiferromagnets

Advanced Science, EarlyView.
The incorporation of superatoms into a 2D square lattice induces symmetry breaking, thereby enabling concurrent coupling among magnetism, ferroelectricity, and ferroelasticity. This strategy achieves triferroic behavior—characterized by spin‐split antiferromagnetic ground states—and offers a viable pathway toward energy‐efficient spintronic devices ...
Zhen Gao, Fengxian Ma, Guoping Gao, Weizhen Meng, Ying Liu, Yandong Ma, Yalong Jiao   +6 more
wiley   +1 more source

Polarization Dynamics in Ferroelectrics: Insights Enabled by Machine Learning Molecular Dynamics

Advanced Science, EarlyView.
Machine learning molecular dynamics is presented as a route to capture polarization switching, domain wall kinetics, topological polar textures, and polar mechanical coupling beyond the limits of conventional atomistic methods. This Perspective surveys recent progress and identifies key methodological directions, including long‐range electrostatics ...
Dongyu Bai, Ri He, Junxian Liu, Liangzhi Kou   +3 more
wiley   +1 more source

Flat Bands Induced by Non‐Collinear Antiferromagnetism in CoBi2Te4

Advanced Science, EarlyView.
Flat bands emerge at the edges of intrinsically non‐collinear antiferromagnetic CoBi2Te4 two‐septuple layers through the interplay of spin–orbit coupling–driven band inversion and non‐collinear antiferromagnetism, uncovering a previously unexplored mechanism for flat‐band formation and opening new opportunities for strongly correlated quantum states ...
Ziyuan Zhao, Yuefeng Yin, Jinxing Gu, Mark T. Edmonds, Nikhil V. Medhekar   +4 more
wiley   +1 more source

Data‐Driven Discovery of Unconventional Antiferromagnets

Advanced Science, EarlyView.
A high‐throughput workflow that combines the physics‐informed pre‐screening, high‐throughput exchange calculations, Luttinger‐Tisza analysis and symmetry classification is established for accurate identification of unconventional antiferromagnets from the broad structural database.
Qirui Cui, Chenxu Liu, Anna Delin, Kaiyou Wang   +3 more
wiley   +1 more source