Results 51 to 60 of about 377,401 (276)

A Coupled AKNS-Kaup-Newell Soliton Hierarchy

, 1999
A coupled AKNS-Kaup-Newell hierarchy of systems of soliton equations is proposed in terms of hereditary symmetry operators resulted from Hamiltonian pairs. Zero curvature representations and tri-Hamiltonian structures are established for all coupled AKNS-
Ma W. X., Ruguang Zhou, Tu G. Z., Wen-Xiu Ma, Zhang B. C.   +4 more
core   +1 more source

Spin Defects in Hexagonal Boron Nitride as 2D Strain Sensors

Advanced Functional Materials, EarlyView.
We demonstrate that boron‐vacancy (VB${\rm V}_{\rm B}$) centers in hexagonal boron nitride (hBN) enable quantitative strain sensing with sub‐micrometer resolution. Using this approach under continuously tunable in‐plane stress, we precisely quantify strain‐induced shifts of the E2g${\rm E}_{2{\rm g}}$ Raman mode in multilayer hBN, establishing VB${\rm ...
Zhao Mu, Zhaowei Zhang, Jules Fraunié, Cédric Robert, Grégory Seine, Bernard Gil, Guillaume Cassabois, Vincent Jacques   +7 more
wiley   +1 more source

Hamiltonian Formulation for Continuous Systems with Second-Order Derivatives: A Study of Podolsky Generalized Electrodynamics

Axioms
This paper presents an analysis of the Hamiltonian formulation for continuous systems with second-order derivatives derived from Dirac’s theory. This approach offers a unique perspective on the equations of motion compared to the traditional Euler ...
Yazen M. Alawaideh, Alina Alb Lupas, Bashar M. Al-khamiseh, Majeed A. Yousif, Pshtiwan Othman Mohammed, Y. S. Hamed   +5 more
doaj   +1 more source

An Overview of the Hamilton–Jacobi Theory: the Classical and Geometrical Approaches and Some Extensions and Applications

Mathematics, 2021
This work is devoted to review the modern geometric description of the Lagrangian and Hamiltonian formalisms of the Hamilton–Jacobi theory. The relation with the “classical” Hamiltonian approach using canonical transformations is also analyzed ...
Narciso Román-Roy
doaj   +1 more source

Degenerate Frobenius manifolds and the bi-Hamiltonian structure of rational Lax equations

, 1998
The bi-Hamiltonian structure of certain multi-component integrable systems, generalizations of the dispersionless Toda hierarchy, is studies for systems derived from a rational Lax function.
I. A. B. Strachan, Kupershmidt B. A.
core   +1 more source

Strain Engineering of Magnetoresistance and Magnetic Anisotropy in CrSBr

Advanced Materials, EarlyView.
Biaxial compressive strain significantly enhances magnetoresistance and critical saturation fields in thin flakes of the 2D magnet CrSBr, along all three crystallographic axes. First‐principles calculations link these effects to strain‐induced increases in exchange interactions and magnetic anisotropy.
Eudomar Henríquez‐Guerra, Alberto M. Ruiz, Marta Galbiati, Álvaro Cortés‐Flores, Daniel Brown, Esteban Zamora‐Amo, Lisa Almonte, Andrei Shumilin, Juan Salvador‐Sánchez, Ana Pérez‐Rodríguez, Iñaki Orue, Andrés Cantarero, Andres Castellanos‐Gomez, Federico Mompeán, Mar Garcia‐Hernandez, Efrén Navarro‐Moratalla, Enrique Diez, Mario Amado, José J. Baldoví, M. Reyes Calvo   +19 more
wiley   +1 more source

Artificial Intelligence‐Assisted Workflow for Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling

Advanced Materials, EarlyView.
AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll, Ivan Pinto‐Huguet, Enzo Rotunno, Thomas Galvani, Catalina Coll, Payam Habibzadeh Kavkani, Maria Chiara Spadaro, Yann‐Michel Niquet, Martin Børstad Eriksen, Sara Martí‐Sánchez, Georgios Katsaros, Giordano Scappucci, Peter Krogstrup, Giovanni Isella, Andreu Cabot, Gonzalo Merino, Pablo Ordejón, Stephan Roche, Vincenzo Grillo, Jordi Arbiol   +19 more
wiley   +1 more source

Comparison of covariant and orthogonal Lyapunov vectors

, 2010
Two sets of vectors, covariant and orthogonal Lyapunov vectors (CLVs/OLVs), are currently used to characterize the linear stability of chaotic systems. A comparison is made to show their similarity and difference, especially with respect to the influence
Radons, Günter, Yang, Hong-liu
core   +1 more source

Quantization of Nonstandard Hamiltonian Systems [PDF]

, 1995
The quantization of classical theories that admit more than one Hamiltonian description is considered. This is done from a geometrical viewpoint, both at the quantization level (geometric quantization) and at the level of the dynamics of the quantum ...
Alejandro Corichi, Arnold V I, Ashtekar A, Ashtekar A, Ashtekar A, Bialynicki-Birula I, Brouzet R, Brylinski R, Corben H C, Corben H C, Corichi A, Dyson F J, Gotay M J, Hojman S A, Hojman S A, Hojman S A, Hughston L P, Hughston L P, Isham C J, Kibble T W B, Kibble T W B, Kodaira K, Marsden J E, Michael P Ryan, Mielnik B, Wald R M, Woodhouse N J M   +26 more
core   +3 more sources

Spin and Charge Control of Topological End States in Chiral Graphene Nanoribbons on a 2D Ferromagnet

Advanced Materials, EarlyView.
Chiral graphene nanoribbons on a ferromagnetic gadolinium‐gold surface alloy display tunable spin and charge states at their termini. Atomic work function variations and exchange fields enabe transitions between singlet, doublet, and triplet configurations.
Leonard Edens, Francisco Romero‐Lara, Trisha Sai, Kalyan Biswas, Manuel Vilas‐Varela, Thomas Frederiksen, Diego Peña, Fabian Schulz, Jose Ignacio Pascual   +8 more
wiley   +1 more source