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GaoZheng G-Framework and GaoZheng G-Algebra: Applied Mathematics Volume I — Law-Space Geometry, GRL, Quantum Computing, and Superconductivity

This first applied-mathematics applications volume (Applied Mathematics Volume I) is structurally independent from the pure mathematics volume but conceptually based on the same integrated construction. The pure mathematics volume develops a law-space geometry and a principal-bundle-based generalized noncommutative Lie algebra that treat "laws ...
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On the quantum affine vertex algebra associated with trigonometric R-matrix

Selecta Mathematica, New Series, 2021
Slaven Kožić
exaly  

Variational algorithms for linear algebra

Science Bulletin, 2021
Xiaosi Xu, Jinzhao Sun, Suguru Endo
exaly  

Dyson--Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum Field Theory: An Advanced Mathematical and Physical Analysis

This paper delves into the complex mathematical structures and physical applications underlying the work \textit{Dyson--Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum Field Theory} by Paul-Hermann Balduf.
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Computer algebra in gravity research

Living Reviews in Relativity, 2018
Malcolm A H Maccallum
exaly  

The germanium quantum information route

Nature Reviews Materials, 2020
Giordano Scappucci   +2 more
exaly  

Material platforms for spin-based photonic quantum technologies

Nature Reviews Materials, 2018
Mete Atature, Dirk Englund, Sang-Yun Lee
exaly  

Bases of the quantum cluster algebra of the Kronecker quiver

Acta Mathematica Sinica, English Series, 2011
Fan Xu
exaly  

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