Results 81 to 90 of about 352,057 (287)

Integrability of invariant metrics on the diffeomorphism group of the circle

, 2006
Each H^k Sobolev inner product defines a Hamiltonian vector field X_k on the regular dual of the Lie algebra of the diffeomorphism group of the circle.
Constantin, Adrian, Kolev, Boris
core   +3 more sources

Symplectic Structure of Discrete Hamiltonian Systems

Journal of Mathematical Analysis and Applications, 2002
The author considers the discrete Hamiltonian system \[ \Delta x(t)= H_u(t,x(t+1),u(t)), \qquad \Delta u(t)= -H_x(t,x(t+1),u(t)), \tag{1} \] where \(x,u\in \mathbb R^d\), \(H(t,x,u)\) is the corresponding real Hamiltonian function having continuous derivatives in \(x\), \(u\).
openaire   +2 more sources

Geometric Hamiltonian structures and perturbation theory [PDF]

, 2005
We have been engaged in a program of investigating the Hamiltonian structure of the various perturbation theories used in practice. We describe the geometry of a Hamiltonian structure for non-singular perturbation theory applied to Hamiltonian systems on symplectic manifolds and the connection with singular perturbation techniques based on the method ...
openaire   +2 more sources

Ferromagnetism of Molecular Beam Epitaxy‐grown Ultra‐thin Cr2Ge2Te6 Films Down to the Monolayer Limit on Si Substrates

Advanced Materials, EarlyView.
Uniform monolayer Cr2Ge2Te6 films are achieved on Si substrates by molecular beam epitaxy. Intrinsic ferromagnetism with perpendicular magnetic anisotropy is established in the films by anomalous Hall effect and superconducting quantum interference device measurements, albeit with strong magnetic fluctuations characteristic of its 2D nature.
Pengfei Ji, Ruixuan Liu, Tianchen Zhu, Yang Chen, Yitian Tong, Jinxuan Liang, Yunhe Bai, Yunyi Zang, Zuhan Geng, Fangting Chen, Xiyu Hong, Jiatong Zhang, Luyi Yang, Qi‐Kun Xue, Ke He, Xiao Feng   +15 more
wiley   +1 more source

3D gravity with propagating torsion: Hamiltonian structure of the scalar sector

, 2013
We study the Hamiltonian structure of the general parity-invariant model of three-dimensional gravity with propagating torsion, with eight parameters in the Lagrangian.
Blagojevic, M., Cvetkovic, B.
core   +1 more source

Testing and Learning Structured Quantum Hamiltonians

Proceedings of the 57th Annual ACM Symposium on Theory of Computing
54 pages. This work subsumes a prior work by the third author (arXiv:2404.06282).
Srinivasan Arunachalam, Arkopal Dutt, Francisco Escudero Gutiérrez   +2 more
openaire   +2 more sources

Spin‐Orbit Torque Induced by Switchable Crystal Inversion Symmetry Breaking

Advanced Materials, EarlyView.
An exotic crystal inversion symmetry breaking in SrRuO3/BiFeO3 heterostructure is revealed, and it can be reversibly manipulated by the ferroelectric polarization of BiFeO3. This crystal inversion symmetry breaking can dramatically enhance the spin‐orbit torque efficiency in the SrRuO3 layer by more than 60%, providing an alternative to design an ...
Zhenyi Zheng, Shu Shi, Zhongran Liu, Qihan Zhang, Naafis Ahnaf Shahed, Himanshu Mavani, Guowei Zhou, Qian Chen, Cheng Zhang, Zhanqi Zhou, Tieyang Zhao, Rui Xiao, Lanxin Jia, Liang Liu, Evgeny Y. Tsymbal, Xiaohong Xu, He Tian, Jingsheng Chen   +17 more
wiley   +1 more source

Dynamics on a submanifold: intermediate formalism versus Hamiltonian reduction of Dirac bracket, and integrability

European Physical Journal C: Particles and Fields
We consider the Lagrangian dynamical system forced to move on a submanifold $$G_\alpha (q^A)=0$$ G α ( q A ) = 0 . If for some reason we are interested in knowing the dynamics of all original variables $$q^A(t)$$ q A ( t ) , the most economical would be ...
Alexei A. Deriglazov
doaj   +1 more source

Compatible metrics on a manifold and non-local bi-Hamiltonian structures

, 2004
Given a flat metric one may generate a local Hamiltonian structure via the fundamental result of Dubrovin and Novikov. More generally, a flat pencil of metrics will generate a local bi-Hamiltonian structure, and with additional quasi-homogeneity ...
David, Liana, Strachan, Ian A. B.
core   +1 more source

Materials for Suppressed Triplet‐Polaron Quenching in Efficient and Long‐Lifetime Phosphorescent OLEDs

Advanced Optical Materials, EarlyView.
We performed a computational screening of phosphorescent emitters and charge transporters for OLEDs to identify combinations that minimize triplet‐polaron quenching, a major cause of efficiency loss and short operational lifetimes, especially in blue OLEDs. Our results reveal key design rules and highlight emitter‐transporter pairs that strongly reduce
Clint van Hoesel, Reinder Coehoorn, Peter A. Bobbert   +2 more
wiley   +1 more source