Results 21 to 30 of about 4,517 (109)
Geometric phases characterise operator algebras and missing information
Journal of High Energy Physics, 2023 We show how geometric phases may be used to fully describe quantum systems, with or without gravity, by providing knowledge about the geometry and topology of its Hilbert space. We find a direct relation between geometric phases and von Neumann algebras.
Souvik Banerjee +3 more
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Mathematics, 2022 In this paper, power flows in electrical circuits are modelled in a mixed time-frequency domain by using geometric algebra and the Hilbert transform for the first time.
Francisco G. Montoya +4 more
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4d higgsed network calculus and elliptic DIM algebra
Nuclear Physics B, 2022 Supersymmetric gauge theories of certain class possess a large hidden nonperturbative symmetry described by the Ding-Iohara-Miki (DIM) algebra which can be used to compute their partition functions and correlators very efficiently.
Mohamed Ghoneim +3 more
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Developing GA-FuL: A Generic Wide-Purpose Library for Computing with Geometric Algebra
MathematicsThe Geometric Algebra Fulcrum Library (GA-FuL) version 1.0 is introduced in this paper as a comprehensive computational library for geometric algebra (GA) and Clifford algebra (CA), in addition to other classical algebras.
Ahmad Hosny Eid, Francisco G. Montoya
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Algebra of Complex Vectors and Applications in Electromagnetic Theory and Quantum Mechanics
Mathematics, 2015 A complex vector is a sum of a vector and a bivector and forms a natural extension of a vector. The complex vectors have certain special geometric properties and considered as algebraic entities. These represent rotations along with specified orientation
Kundeti Muralidhar
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Geometric Algebra Quantum Gate Decomposition
AxiomsQuantum gates are traditionally described using matrix and tensor-product formalisms, representations that provide limited geometric intuition. In this work, we develop a formulation of the Pauli and Clifford groups within the complex Geometric Algebra ...
Youssef Amraoui, Zeno Toffano
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Geometric Algebra Techniques in Flux Compactifications
Advances in High Energy Physics, 2016 We study “constrained generalized Killing (s)pinors,” which characterize supersymmetric flux compactifications of supergravity theories. Using geometric algebra techniques, we give conceptually clear and computationally effective methods for translating ...
Calin Iuliu Lazaroiu +2 more
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Geometric algebra approach to analyzing the singularity of six-DOF parallel mechanism
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2019 Singular configurations must be avoided in the practical manipulation of parallel mechanism. This paper presents an approach of singularities analysis of six degrees of freedom (DOF) parallel mechanism applying geometric algebra.
Shili CHENG, Ping JI
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Remote SensingThe field of multi-source remote sensing observation is becoming increasingly dynamic through the integration of various remote sensing data sources. However, existing deep learning methods face challenges in differentiating between internal and external
Rui Wang +4 more
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Reinterpreting the Smith Chart Using Conformal Geometric Algebra
IEEE Access, 2023 In this study, transmission line calculations using the Smith chart were reinterpreted within the context of Conformal Geometric Algebra (CGA). Reflection coefficients and immittances (representing either impedances or admittances depending on the ...
Michael J. Neve
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