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25 Years of Quantum Groups: from Definition to Classification
In mathematics and theoretical physics, quantum groups are certain non-commutative, non-cocommutative Hopf algebras, which first appeared in the theory of quantum integrable models and later they were formalized by Drinfeld and Jimbo.
A. Stolin
doaj
In this paper we review the definition and properties of redundant operators in the exact renormalisation group. We explain why it is important to require them to be eigenoperators and why generically they appear only as a consequence of symmetries of ...
Morris, Tim R., Dietz, Juergen A.
core +1 more source
CLASSICAL ISOMORPHISMS FOR QUANTUM GROUPS [PDF]
The expressions for the [Formula: see text]-matrices for the quantum groups [Formula: see text] and SO q(6) in terms of the [Formula: see text]-matrices for Sp q(2) and SL q(4) are found, and the local isomorphisms of the corresponding quantum groups are established.
Jain, Vidyut, Ogievetsky, Oleg
openaire +3 more sources
DNA strands are employed both as dynamic linkers and nanoscale templates for the integration of Ag2S nanoparticles on MoS2, which in turn imparted photothermal responsiveness; this feature permits the selective cargo (fluorophore, quantum dots or an enzyme) release from the MoS2 surface in response to local heat induced by light irradiation.
Kai Chen +3 more
wiley +1 more source
Non-Commutative Analysis on Quantum Spaces [PDF]
Tools like a generalized *-product, a Leibniz rule and an integration needed for Analysis on Quantum Spaces such as n-dimensional q-deformed Euclidean space are ...
Jambor, Claudia
core
Spin-electric coupling in quantum dots and molecular magnets [PDF]
In this thesis we study several aspects related to the dynamics of electrons and holes in quantum dots, as well as dynamics of electron spins in molecular magnets.
Trif, Mircea
core +1 more source
Ferroelectricity in Antiferromagnetic Wurtzite Nitrides
We establish MnSiN2${\rm MnSiN}_2$ and MnGeN2${\rm MnGeN}_2$ as aristotypes of a new multiferroic wurtzite family that simultaneously exhibits ferroelectricity and antiferromagnetism with altermagnetic spin splitting. By strategically substituting alkaline‐earth metals, we predict new materials with coexisting switchable polarization, spin texture, and
Steven M. Baksa +3 more
wiley +1 more source
Optimizing performance of GATK workflows using Apache Arrow In-Memory data framework
Background Immense improvements in sequencing technologies enable producing large amounts of high throughput and cost effective next-generation sequencing (NGS) data. This data needs to be processed efficiently for further downstream analyses.
Tanveer Ahmad +3 more
doaj +1 more source
Redeposition-free inductively-coupled plasma etching of lithium niobate for integrated photonics
Lithium niobate on insulator is being established as a versatile platform for a new generation of photonic integrated devices. Extensive progress has been made in recent years to improve the fabrication of integrated optical circuits from a research ...
Kaufmann Fabian +3 more
doaj +1 more source
Realizing ultrahigh capacity quantum superdense coding on quantum photonic chip
Quantum superdense coding provides a compelling solution to enhance the channel capacity compared with classical coding, which plays a vital role in quantum networks.
Karim, Muhammad Faeyz +23 more
core +1 more source

