Results 91 to 100 of about 189,405 (333)
Algebraic leaves of algebraic foliations over number fields [PDF]
Publications mathématiques de l'IHÉS, 2001 This paper proves an algebraicity criterion for leaves of algebraic foliations over number fields. Let \(K\) be a number field embedded in \(\mathbb C\), let \(X\) be a smooth algebraic variety over \(K\) (i.e., an integral separated scheme of finite type over \(K\)), and let \(F\) be an algebraic subbundle of the tangent bundle \(T_X\). We assume that
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Annalen der Physik, EarlyView.Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
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Analytical Solutions of the Driven Time‐Dependent Jaynes–Cummings Model
Annalen der Physik, EarlyView.Following the great strides made in the last decade towards the control and tunability of physical parameters in cavity quantum electrodynamics, this study presents new solutions to the dynamics of the time‐dependent Jaynes–Cummings model with variable external classical fields acting on the two‐level system and the quantized field mode.
Antonio Vidiella‐Barranco +5 more
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On Hopf Galois Hirata extensions
International Journal of Mathematics and Mathematical Sciences, 2003 Let H be a finite-dimensional Hopf algebra over a field K, H* the dual Hopf algebra of H, and B a right H*-Galois and Hirata separable extension of BH. Then B is characterized in terms of the commutator subring VB(BH) of BH in B and the smash product VB ...
George Szeto, Lianyong Xue
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Unimodular rows over affine algebras over algebraic closure of a finite field
Journal of Algebra and Its Applications, 2022 In this paper, we prove that if [Formula: see text] is an affine algebra of dimension [Formula: see text] over [Formula: see text] and [Formula: see text] then any unimodular row over [Formula: see text] of length [Formula: see text] can be mapped to a factorial row by elementary transformations.
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Low‐Energy Atomic Scattering: S‐Wave Relation Between the Interaction Potential and the Phase Shift
Annalen der Physik, EarlyView.The validity of the on‐shell approximation for s‐wave scattering is examined across one, two, and three dimensions using exactly solvable model interaction potentials. By comparing exact and approximate s‐wave components of the interaction potential, the analysis reveals that the approximation improves with increasing momentum and decreasing ...
Francesco Lorenzi, Luca Salasnich
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Angewandte Chemie International Edition, EarlyView.The full photoisomerization mechanism of the all‐red‐light addressable peri‐anthracenethioindigo (PAT) has been decoded. Theory and transient absorption spectroscopy show that both E→Z$E\rightarrow Z$ and Z→E$Z\rightarrow E$ switching proceed via the triplet state.
Martina Hartinger +6 more
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On Marginal Automorphisms of Free Nilpotent Lie Algebras
Journal of Mathematics, 2020 Let L be the free nilpotent Lie algebra of finite rank over a field of characteristic zero. We define the concepts of marginal ideals and marginal automorphisms of L, and we give some results on marginal automorphisms.
Özge Öztekin
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Asian Journal of Control, EarlyView.Abstract This article addresses the cooperative output consensus tracking problem for high‐order heterogeneous multi‐agent systems via a distributed proportional‐integral‐derivative (PID)‐like control strategy and proposes two novel control methodologies for the tuning of the control gains, which do not require any assumption and/or limitation on agent
Dario Giuseppe Lui +2 more
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SUBJECT «NUMBER SYSTEMS» IN TWO-LEVELED FORMAT PREPARATION TEACHERS OF MATHEMATICS
Образование и наука, 2017 The aim of this article is to analyze the format of a two-leveled training – bachelor and master – future teachers of mathematics from the point of view of the content of mathematical material, which is to develop prospective teachers of mathematics at ...
V. I. Igoshin
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