Results 21 to 30 of about 110,884 (185)

Hochschild cohomology of group extensions of quantum symmetric algebras [PDF]

, 2010
Quantum symmetric algebras (or noncommutative polynomial rings) arise in many places in mathematics. In this article we find the multiplicative structure of their Hochschild cohomology when the coefficients are in an arbitrary bimodule algebra. When this
Communicated Martin Lorenz, Deepak Naidu, Piyush Shroff, Sarah Witherspoon   +3 more
core   +3 more sources

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Review of Memristors for In‐Memory Computing and Spiking Neural Networks

Advanced Intelligent Systems, EarlyView.
Memristors uniquely enable energy‐efficient, brain‐inspired computing by acting as both memory and synaptic elements. This review highlights their physical mechanisms, integration in crossbar arrays, and role in spiking neural networks. Key challenges, including variability, relaxation, and stochastic switching, are discussed, alongside emerging ...
Mostafa Shooshtari, Teresa Serrano‐Gotarredona, Bernabé Linares‐Barranco   +2 more
wiley   +1 more source

Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation

Advanced Physics Research, EarlyView.
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley   +1 more source

Contractions, deformations and curvature

, 2007
The role of curvature in relation with Lie algebra contractions of the pseudo-ortogonal algebras so(p,q) is fully described by considering some associated symmetrical homogeneous spaces of constant curvature within a Cayley-Klein framework.
A. Ballesteros, A. Ballesteros, A. Ballesteros, A. Ballesteros, A. Fialowski, A. Nijenhuis, A.A. Izmest’ev, A.A. Izmest’ev, B.A. Rozenfel’d, C. Jordan, C. Ohn, D.M.Y. Sommerville, D.V. Ahluwalia-Khalilova, E. Abe, E. Inönü, E. Weimar-Woods, E.J. Saletan, F.J. Herranz, F.J. Herranz, F.J. Herranz, F.J. Herranz, F.J. Herranz, Francisco J. Herranz, H. Bacry, H. Bacry, I.E. Segal, I.M. Yaglom, I.M. Yaglom, J. Lukierski, J.M. Figueroa-O’Farrill, K.B. Wolf, M. Montigny de, M. Montigny de, M. Santander, Mariano Santander, N.A. Gromov, O. Ragnisco, Orlando Ragnisco, R. Gilmore, R.V. Moody, T. Tjin, V. Chari, V.G. Drinfeld, V.I. Man’ko, Ángel Ballesteros   +44 more
core   +1 more source

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, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Glimpses of the Octonions and Quaternions History and Todays Applications in Quantum Physics

, 2008
Before we dive into the accessibility stream of nowadays indicatory applications of octonions to computer and other sciences and to quantum physics let us focus for a while on the crucially relevant events for todays revival on interest to ...
A.K. Kwaśniewski, Andrzej Krzysztof Kwaśniewski, B.L. Waerden van der, Bremner Murray, C.C. Lassig, Dickson Leonard Eugene, G.H. Hardy, I.M. Yaglom, J. Rembieliski, J.A. Nieto, Jiang Tongsong, Jiang Tongsong, Jiang Tongsong, Jiang. Tongsong, Jiang. Tongsong, Jordan Pascual, L.P. Horwitz, Leo. Stefano De, Z. Hasiewicz, Z. Hasiewicz   +19 more
core   +2 more sources

Gap Symmetry, Electronic Structure and Interplay Between Superconductivity and Spin Density Wave in Sr1−xKxFe2As2 Superconductor

Nano Select, EarlyView.
In moderately hole‐doped Sr1−xKxFe2As2${\rm Sr}_{1-x}{\rm K}_x{\rm Fe}_2{\rm As}_2$ system the pairing state is s+−${\rm s}^{+-}$ wave pairing state mediated by spin fluctuations. As the SDW order parameter increases, TC${\rm T}_C$ decreases and TM${\rm T}_M$ increases. As temperature increases, the SDW order parameter decreases and vanishes at TM${\rm
Gedefaw Mebratie, Tamiru Negussie, Geberegziabher Kahsay   +2 more
wiley   +1 more source

On the Cyclotomic Quantum Algebra of Time Perception [PDF]

, 2004
I develop the idea that time perception is the quantum counterpart to time measurement. Phase-locking and prime number theory were proposed as the unifying concepts for understanding the optimal synchronization of clocks and their 1/f frequency noise ...
Planat, Michel
core   +2 more sources

Entanglement Swapping for Partially Entangled Qudits and the Role of Quantum Complementarity

Advanced Quantum Technologies, EarlyView.
The entanglement swapping protocol is extended to partially entangled qudit states and analyzed through complete complementarity relations. Analytical bounds on the average distributed entanglement are established, showing how the initial local predictability and entanglement constrain the operational distribution.
Diego S. Starke, Marcos L. W. Basso, Lucas C. Céleri, Jonas Maziero   +3 more
wiley   +1 more source