Results 51 to 60 of about 379,338 (251)
MathematicsThe rational field Q is highly desired in many applications. Algorithms using the rational number field Q algebraic number fields use only integer arithmetics and are easy to implement.
Ran Lu
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Spatiotemporally Resolved Orbital Hall Effect in a Topological Semimetal
Advanced Materials, EarlyView.Real‐space mapping of orbital angular momentum (OAM) transport is achieved using contact‐free polarimetric terahertz spectroscopy. This principle is applied to the topological semimetal Td‐WTe2, revealing the spatial separation of electrons into two distinct regions characterized by opposite out‐of‐plane OAM (±Lz).
Byung Cheol Park +8 more
wiley +1 more source
A note on Fibonacci matrices of even degree
International Journal of Mathematics and Mathematical Sciences, 2001 This paper presents a construction of m-by-m irreducible Fibonacci matrices for any even m. The proposed technique relies on matrix representations of algebraic number fields which are an extension of the golden section field.
Michele Elia
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The Square-Zero Basis of Matrix Lie Algebras
Mathematics, 2020 A method is presented that allows one to compute the maximum number of functionally-independent invariant functions under the action of a linear algebraic group as long as its Lie algebra admits a basis of square-zero matrices even on a field of positive
Raúl Durán Díaz +3 more
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Manipulating Individual Topological Solitons and Bisolitons in an Electronic System
Advanced Materials, EarlyView.While localized topological modes in quantum materials promise loss‐less delivery of classical and quantum information, manipulating them individually has been challenging. This work succeeded in manipulating topological solitons formed along atomic wires on silicon surfaces with high reproducibility in various ways, including translating, transforming
Taehwan Im +2 more
wiley +1 more source
On the quantum security of high-dimensional RSA protocol
Journal of Mathematical CryptologyThe idea of extending the classical RSA protocol using algebraic number fields was introduced by Takagi and Naito (Construction of RSA cryptosystem over the algebraic field using ideal theory and investigation of its security.
Rahmani Nour-eddine +3 more
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Another formulation of the Wick’s theorem. Farewell, pairing?
Special Matrices, 2015 The algebraic formulation of Wick’s theorem that allows one to present the vacuum or thermal averages of the chronological product of an arbitrary number of field operators as a determinant (permanent) of the matrix is proposed.
Beloussov Igor V.
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Splitting fields of elements in arithmetic groups
, 2011 We prove that the number of unimodular integral matrices in a norm ball whose characteristic polynomial has Galois group different than the full symmetric group is of strictly lower order of magnitude than the number of all such matrices in the ball, as ...
Gorodnik, Alex, Nevo, Amos
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New decidable fields of algebraic numbers [PDF]
Proceedings of the American Mathematical Society, 1979 A formally real field of algebraic numbers is constructed which has decidable elementary theory and does not have a real closed or p-adically closed subfield.
L. P. D. van den Dries +1 more
openaire +3 more sources
Observation of Topological Chirality Switching Induced Freezing of a Skyrmion Crystal
Advanced Materials, EarlyView.Using Lorentz Transmission electron microscopy, it is shown that in the insulating van der Waals ferromagnet, CrBr3, a magnetic field can cause Bloch skyrmionic bubbles to spontaneously switch their chirality. As achiral type‐II bubbles are an intermediate state, the bubbles rapidly elongate and shrink when switching, thereby inducing a freezing of the
John Fullerton +10 more
wiley +1 more source