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Galilei particles revisited

SciPost Physics Lecture Notes
We revisit the classifications of classical and quantum galilean particles: that is, we fully classify homogeneous symplectic manifolds and unitary irreducible projective representations of the Galilei group.
José Miguel Figueroa-O'Farrill, Simon Pekar, Alfredo Pérez, Stefan Prohazka
doaj   +1 more source

BasisGen: automatic generation of operator bases

European Physical Journal C: Particles and Fields, 2019
BasisGen is a Python package for the automatic generation of bases of operators in effective field theories. It accepts any semisimple symmetry group and fields in any of its finite dimensional irreducible representations.
Juan Carlos Criado
doaj   +1 more source

Quantum Analogs of Tensor Product Representations of su(1,1)

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We study representations of U_q(su(1,1)) that can be considered as quantum analogs of tensor products of irreducible *-representations of the Lie algebra su(1,1).
Wolter Groenevelt
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ON GENERALIZATION OF SPECIAL FUNCTIONS RELATED TO WEYL GROUPS

Acta Polytechnica, 2016
Weyl group orbit functions are defined in the context of Weyl groups of simple Lie algebras. They are multivariable complex functions possessing remarkable properties such as (anti)invariance with respect to the corresponding Weyl group, continuous and ...
Lenka Háková, Agnieszka Tereszkiewicz
doaj   +1 more source

Irreducible representations of E theory [PDF]

International Journal of Modern Physics A, 2019
We construct the [Formula: see text] theory analogue of the particles that transform under the Poincaré group, that is, the irreducible representations of the semi-direct product of the Cartan involution subalgebra of [Formula: see text] with its vector representation. We show that one such irreducible representation has only the degrees of freedom of
openaire   +2 more sources

2D Multifunctional Spin‐Orbit Coupled Dirac Nodal Line Materials

Advanced Functional Materials, EarlyView.
A total of 473 nonmagnetic and antiferromagnetic 2D spin‐orbit coupled Dirac nodal line materials are screened, spanning 5 layer groups and 12 magnetic space groups. Furthermore, it integrates their topological properties with electride, multiferroic, and magnetic characteristics, revealing unique systems with expanded functionalities and promising ...
Weizhen Meng, Ying Liu, Jialin Gong, Yalong Jiao, Xiaoming Zhang, Wenxian Li, Zhenxiang Cheng, Tie Yang   +7 more
wiley   +1 more source

Understanding Decoherence of the Boron Vacancy Center in Hexagonal Boron Nitride

Advanced Functional Materials, EarlyView.
State‐of‐the‐art computations unravel the intricate decoherence dynamics of the boron vacancy center in hexagonal boron nitride across magnetic fields from 0 to 3 T. Five distinct regimes emerge, dominated by nuclear spin interactions, revealing optimal coherence times of 1–20 µs in the 180–350 mT range for isotopically pure samples.
András Tárkányi, Viktor Ivády
wiley   +1 more source

A preorder-free construction of the Kazhdan-Lusztig representations of $S_n$, with connections to the Clausen representations [PDF]

Discrete Mathematics & Theoretical Computer Science, 2009
We use the polynomial ring $\mathbb{C}[x_{1,1},\ldots,x_{n,n}]$ to modify the Kazhdan-Lusztig construction of irreducible $S_n$-modules. This modified construction produces exactly the same matrices as the original construction in [$\textit{Invent. Math}$
Charles Buehrle, Mark Skandera
doaj   +1 more source

Band Alignment in In‐Oxo Metal Porphyrin SURMOF Heterojunctions

Advanced Functional Materials, EarlyView.
Porphyrin core metalation in indium‑oxo SURMOFs enables systematic tuning of band edge positions without altering the crystal structure. First‑principles calculations reveal type‑I and type‑II heterostructures as well as multi‑junction energy cascades, establishing a modular strategy for exciton funneling and charge separation in optoelectronic ...
Puja Singhvi, Nina Vankova, Thomas Heine
wiley   +1 more source

Irreducible representations of simple Lie algebras by differential operators

European Physical Journal C: Particles and Fields, 2021
We describe a systematic method to construct arbitrary highest-weight modules, including arbitrary finite-dimensional representations, for any finite dimensional simple Lie algebra $${\mathfrak {g}}$$ g .
A. Morozov, M. Reva, N. Tselousov, Y. Zenkevich   +3 more
doaj   +1 more source