Results 31 to 40 of about 168,020 (318)

Quantum reference frames for general symmetry groups [PDF]

Quantum, 2020
A fully relational quantum theory necessarily requires an account of changes of quantum reference frames, where quantum reference frames are quantum systems relative to which other systems are described.
Anne-Catherine de la Hamette, Thomas D. Galley   +1 more
doaj   +1 more source

Quantised coordinate rings of semisimple groups are unique factorisation domains [PDF]

, 2007
We show that the quantum coordinate ring of a semisimple group is a unique factorisation domain in the sense of Chatters and Jordan in the case where the deformation parameter q is a transcendental ...
Lenagan, T.H., Launois, Stephane
core   +1 more source

Introduction to the Yang-Baxter Equation with Open Problems

Axioms, 2012
The Yang-Baxter equation first appeared in theoretical physics, in a paper by the Nobel laureate C. N. Yang, and in statistical mechanics, in R. J. Baxter’s work.
Florin Nichita
doaj   +1 more source

The quantum disk is not a quantum group [PDF]

Journal of Topology and Analysis, 2021
In this paper, we show that the quantum disk, i.e. the quantum space corresponding to the Toeplitz [Formula: see text]-algebra does not admit any compact quantum group structure. We prove that if such a structure existed the resulting compact quantum group would simultaneously be of Kac type and not of Kac type.
Sołtan, Piotr, Krajczok, Jacek
openaire   +4 more sources

SPACETIME OR QUANTUM PARTICLES: THE ONTOLOGY OF QUANTUM GRAVITY? [PDF]

, 1996
The domains of quantum theory and general relativity overlap in situations where quantum mechanical effects cannot be ignored. In order to deal with this overlap of theoretical domains, there has been a tendency to apply the rules of quantum field theory
Peter J. Riggs, Riggs, Peter James, Riggs, Peter J.   +2 more
core   +1 more source

Subgroups of quantum groups [PDF]

The Quarterly Journal of Mathematics, 2018
Abstract We investigate the notion of a subgroup of a quantum group. We suggest a general definition, which takes into account the work that has been done for quantum homogeneous spaces. We further restrict our attention to reductive subgroups, where some faithful flatness conditions apply.
openaire   +2 more sources

Photon-Added Deformed Peremolov Coherent States and Quantum Entanglement

Axioms
In the present article, we build the excitedcoherent states associated with deformed su(1,1) algebra (DSUA), called photon-added deformed Perelomov coherent states (PA-DPCSs).
Kamal Berrada
doaj   +1 more source

Quantum exponentials for the modular double and applications in gravity models

Journal of High Energy Physics, 2023
In this note, we propose a decomposition of the quantum matrix group SL q + $$ {\textrm{SL}}_q^{+} $$ (2, ℝ) as (deformed) exponentiation of the quantum algebra generators of Faddeev’s modular double of U q ( sl $$ \mathfrak{sl} $$ (2, ℝ)).
Thomas G. Mertens
doaj   +1 more source

Covariantization of quantized calculi over quantum groups [PDF]

Mathematica Bohemica, 2020
We introduce a method for construction of a covariant differential calculus over a Hopf algebra $A$ from a quantized calculus $da=[D,a]$, $a\in A$, where $D$ is a candidate for a Dirac operator for $A$.
Seyed Ebrahim Akrami, Shervin Farzi
doaj   +1 more source

Harmonic Analysis on Quantum Complex Hyperbolic Spaces

Symmetry, Integrability and Geometry: Methods and Applications, 2011
In this paper we obtain some results of harmonic analysis on quantum complex hyperbolic spaces. We introduce a quantum analog for the Laplace-Beltrami operator and its radial part.
Olga Bershtein, Yevgen Kolisnyk
doaj   +1 more source