Results 11 to 20 of about 230,209 (162)
Exceptional Quantum Algebra for the Standard Model of Particle Physics [PDF]
Springer Proceedings in Mathematics & statistics, 2019 The exceptional euclidean Jordan algebra of 3x3 hermitian octonionic matrices, appears to be tailor made for the internal space of the three generations of quarks and leptons.
I. Todorov
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A Quantum Algebra Approach to Multivariate Askey–Wilson Polynomials [PDF]
International mathematics research notices, 2018 We study matrix elements of a change of basis between two different bases of representations of the quantum algebra ${\mathcal{U}}_q(\mathfrak{s}\mathfrak{u}(1,1))$.
W. Groenevelt
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Survey of new applications of geometric algebra
Mathematical methods in the applied sciences, 2023 This survey introduces 101 new publications on applications of Clifford's geometric algebras (GAs) newly published during 2022 (until mid‐January 2023).
E. Hitzer +3 more
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Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: Type C [PDF]
Journal of Mathematics and Physics, 2019 An explicit isomorphism between the R-matrix and Drinfeld presentations of the quantum affine algebra in type A was given by Ding and Frenkel [Commun. Math. Phys. 156, 277–300 (1993)].
N. Jing, Ming Liu, A. Molev
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The Linear Algebra Curriculum Study Group (LACSG 2.0) Recommendations
Notices of the American Mathematical Society, 2022 May 2022 Notices of the aMericaN MatheMatical society 813 of linear algebra has led to the explosion of career opportunities in data science, signal processing, cryptography, computer science, and quantum computing.
Sepideh Stewart +8 more
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Quantum Technology for Economists [PDF]
Social Science Research Network, 2020 Research on quantum technology spans multiple disciplines: physics, computer science, engineering, and mathematics. The objective of this manuscript is to provide an accessible introduction to this emerging field for economists that is centered around ...
Isaiah Hull +3 more
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IEEE Access, 2021 Geometric Algebra (GA) has proven to be an advanced language for mathematics, physics, computer science, and engineering. This review presents a comprehensive study of works on Quaternion Algebra and GA applications in computer science and engineering ...
E. Bayro-Corrochano
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Classical dynamics from self-consistency equations in quantum mechanics [PDF]
Journal of Mathematics and Physics, 2020 During the last three decades, Pavel Bóna developed a non-linear generalization of quantum mechanics, which is based on symplectic structures for normal states.
J. Bru, W. de Siqueira Pedra
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Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms [PDF]
Journal of Mathematics and Physics, 2018 Lieb-Robinson bounds show that the speed of propagation of information under the Heisenberg dynamics in a wide class of nonrelativistic quantum lattice systems is essentially bounded.
B. Nachtergaele +2 more
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Benefits of Open Quantum Systems for Quantum Machine Learning
Advanced Quantum Technologies, EarlyView., 2023 Quantum machine learning (QML), poised to transform data processing, faces challenges from environmental noise and dissipation. While traditional efforts seek to combat these hindrances, this perspective proposes harnessing them for potential advantages. Surprisingly, under certain conditions, noise and dissipation can benefit QML.
María Laura Olivera‐Atencio +2 more
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