Results 101 to 110 of about 1,414,924 (189)
Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
The dynamical U(n) quantum group
International Journal of Mathematics and Mathematical Sciences, 2006 We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix given by Etingof and Varchenko. A left and a right corepresentation of this algebra, which can be seen as analogues of the exterior algebra representation ...
Erik Koelink, Yvette Van Norden
doaj +1 more source
A Quantum Algorithm for the Commutativity of Finite Dimensional Algebras
IEEE Access, 2019 A quantum procedure for testing the commutativity of a finite dimensional algebra is introduced. This algorithm, based on Grover's quantum search, is shown to provide a quadratic speed-up (when the number of queries to the algebra multiplication ...
Elias F. Combarro +2 more
doaj +1 more source
On Geometric Phase Model in the Theory of Curves With Myller Configuration
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir +2 more
wiley +1 more source
ON ALGEBRAIC SUPERGROUPS AND QUANTUM DEFORMATIONS
Journal of Algebra and Its Applications, 2003 We give the definitions of affine algebraic supervariety and affine algebraic supergroup through the functor of points and we relate them to the other definitions present in the literature. We study in detail the algebraic supergroups GL(m|n) and SL(m|n) and give explicitly the Hopf algebra structure of the algebra representing the functors of points.
openaire +2 more sources
Algebraic Quantum Field Theory [PDF]
, 2006 Algebraic quantum field theory provides a general, mathematically precise description of the structure of quantum field theories, and then draws out consequences of this structure by means of various mathematical tools -- the theory of operator algebras,
Halvorson, Hans, Mueger, Michael
core
Responsive Materials, EarlyView.Machine learning provides a unifying framework to connect structure, fluorescence properties, and applications of carbon‐based quantum dots. This review highlights how data‐driven strategies enable fluorescence regulation, reveal underlying mechanisms, and accelerate the rational design of functional carbon dots.
Liangfeng Chen +8 more
wiley +1 more source
Quantum Algebra From Generalized Q-Algebra [PDF]
, 2021 The paper contains an investigation of the notion of Q-algebras. A brief introduction toquantum mechanics is given.A brief introduction to BCI/BCK/BCH-algebra are given. A new generalization of Q-algebrahas been introduced.
Tabuni, Muna
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Algebraic Varieties in Quantum Chemistry
Foundations of Computational MathematicsAbstract We develop algebraic geometry for coupled cluster (CC) theory of quantum many-body systems. The high-dimensional eigenvalue problems that encode the electronic Schrödinger equation are approximated by a hierarchy of polynomial systems at various levels of truncation.
Fabian M. Faulstich +2 more
openaire +4 more sources
Are Rindler Quanta Real? Inequivalent Particle Concepts in Quantum Field Theory [PDF]
, 2000 Philosophical reflection on quantum field theory has tended to focus on how it revises our conception of what a particle is. However, there has been relatively little discussion of the threat to the "reality" of particles posed by the possibility of ...
Halvorson, Hans, Clifton, Rob
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