Results 51 to 60 of about 377,813 (234)

Unitarity at the late time boundary of de Sitter

Journal of High Energy Physics, 2020
The symmetry group of the de Sitter spacetime, accommodates fields of various masses and spin among its unitary irreducible representations. These unitary representations are labeled by the spin and the weight contribution to the scaling dimension and ...
Gizem Şengör, Constantinos Skordis
doaj   +1 more source

Coherent Frames [PDF]

Sahand Communications in Mathematical Analysis, 2018
Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames.
Ataollah Askari Hemmat, Ahmad Safapour, Zohreh Yazdani Fard   +2 more
doaj   +1 more source

Generation of local unitary groups

Journal of Algebra, 2022
Let $E$ be a two-dimensional étale algebra over a non-Archimedean local field $K$ of characteristic zero. We show that the unitary group of a non-degenerate hermitian lattice over $E$ is generated by symmetries and rescaled Eichler isometries. In the appendix we show that unless $E/K$ is a ramified dyadic field extension and the residue field has two ...
Brandhorst, Simon, Hofmann, Tommy, Manthe, Sven   +2 more
openaire   +3 more sources

Klein's programme and Quantum Mechanics

, 2015
We review the geometrical formulation of Quantum Mechanics to identify, according to Klein's programme, the corresponding group of transformations. For closed systems, it is the unitary group.
Clemente-Gallardo, J., Marmo, G.
core   +1 more source

A Characterization of Projective Special Unitary Group PSU(3,3) and Projective Special Linear Group PSL(3,3) by NSE

Mathematics, 2018
Let G be a finite group and ω(G) be the set of element orders of G. Let k∈ω(G) and mk be the number of elements of order k in G. Let nse(G)={mk|k∈ω(G)}.
Farnoosh Hajati, Ali Iranmanesh, Abolfazl Tehranian   +2 more
doaj   +1 more source

Anomaly of $(2+1)$-dimensional symmetry-enriched topological order from $(3+1)$-dimensional topological quantum field theory

SciPost Physics, 2023
Symmetry acting on a (2+1)$D$ topological order can be anomalous in the sense that they possess an obstruction to being realized as a purely (2+1)$D$ on-site symmetry. In this paper, we develop a (3+1)$D$ topological quantum field theory to calculate the
Weicheng Ye, Liujun Zou
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Adjoint representations for SU(2), su(2) and sl(2)

Al-Mustansiriyah Journal of Science, 2017
This work, presents four kinds of adjoint representations for the special unitary matrix Lie group SU(2) and the special unitary, special linear matrix Lie algebras su(2) and sl(2).
Saad Owaid, Zainab Subhi
doaj   +1 more source

The ZX-calculus is complete for the single-qubit Clifford+T group [PDF]

Electronic Proceedings in Theoretical Computer Science, 2014
The ZX-calculus is a graphical calculus for reasoning about pure state qubit quantum mechanics. It is complete for pure qubit stabilizer quantum mechanics, meaning any equality involving only stabilizer operations that can be derived using matrices can ...
Miriam Backens
doaj   +1 more source

UNITARY GROUPS OVER LOCAL RINGS [PDF]

Journal of Algebra and Its Applications, 2013
We study hermitian forms and unitary groups defined over a local ring, not necessarily commutative, equipped with an involution. When the ring is finite we obtain formulae for the order of the unitary groups as well as their point stabilizers, and use these to compute the degrees of the irreducible constituents of the Weil representation of a unitary ...
CRUICKSHANK, J., HERMAN, A., QUINLAN, R., SZECHTMAN, F.   +3 more
openaire   +2 more sources

Second cohomology groups of the Hopf * -algebras associated to universal unitary quantum groups [PDF]

, 2022
B. Krishna Das, Uwe Franz, Anna Kula, Adam Skalski   +3 more
openalex   +1 more source