Results 61 to 70 of about 77,468 (213)
Digital-analog quantum computation with arbitrary two-body Hamiltonians
Physical Review ResearchDigital-analog quantum computing is a computational paradigm which employs an analog Hamiltonian resource together with single-qubit gates to reach universality.
Mikel Garcia-de-Andoin +5 more
doaj +1 more source
Advanced Intelligent Systems, EarlyView.This review explores the transformative impact of artificial intelligence on multiscale modeling in materials research. It highlights advancements such as machine learning force fields and graph neural networks, which enhance predictive capabilities while reducing computational costs in various applications.
Artem Maevskiy +2 more
wiley +1 more source
Quadrature Based Neural Network Learning of Stochastic Hamiltonian Systems
MathematicsHamiltonian Neural Networks (HNNs) provide structure-preserving learning of Hamiltonian systems. In this paper, we extend HNNs to structure-preserving inversion of stochastic Hamiltonian systems (SHSs) from observational data.
Xupeng Cheng, Lijin Wang, Yanzhao Cao
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一个阿贝尔积分根的数目的下界(A lower bound for the number of zeroes about an Abelian integral)
Zhejiang Daxue xuebao. Lixue ban, 2013 Hopf bifurcation is an important part of bifurcation theory of dynamical systems. Almost all known works are concerned with the bifurcation and number of limit cycles near a nondegenerate focus or center.
YANDong-mei(严冬梅) +1 more
doaj +1 more source
Corrigendum: Cubic polynomials on Lie groups: reduction of the Hamiltonian system [PDF]
Journal of Physics A: Mathematical and Theoretical, 2013 The purpose of this corrigendum is to replace lemma 6 on page 13 of the paper to guarantee the accuracy of other results derived from it, in particular, the discussion after remark 4 on page 15. In the original version, the result we prove does not allow us to conclude, as we claim, that the set of constants of the motion we identify can be used with ...
Abrunheiro, L +2 more
openaire +3 more sources
A [3]Rotaxane Containing {Ti7Ga} Rings Linking CuII: Synthesis, Structure, and Spectroscopic Studies
Chemistry – A European Journal, EarlyView.Extended hybrid inorganic‐organic [2]‐ and [3]‐rotaxanes are reported based on heterometallic rings with threads that link CuII complexes; the crystal structures are reported, and the solution behavior is investigated by double electron electron resonance spectroscopy methods.
Selena J. Lockyer +7 more
wiley +1 more source
Parent Hamiltonians of Jastrow wavefunctions
SciPost Physics Core, 2021 We find the complete family of many-body quantum Hamiltonians with ground-state of Jastrow form involving the pairwise product of a pair function in an arbitrary spatial dimension.
Mathieu Beau, Adolfo del Campo
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Existence of Full Replica Symmetry Breaking for the Sherrington–Kirkpatrick Model at Low Temperature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We verify the existence of full replica symmetry breaking (FRSB) for the Sherrington–Kirkpatrick (SK) model and determine the structure of its Parisi measure slightly beyond the high temperature regime. More specifically, we prove that the support of the Parisi measure for the SK model consists of an interval starting at the origin slightly ...
Yuxin Zhou
wiley +1 more source
Hidden Algebra of Three-Body Integrable Systems
, 1998 It is shown that all 3-body quantal integrable systems that emerge in the Hamiltonian reduction method possess the same hidden algebraic structure. All of them are given by a second degree polynomial in generators of an infinite-dimensional Lie algebra ...
ALEXANDER TURBINER, Perelomov A. M.
core +1 more source
Quadratic Algebra Approach to Relativistic Quantum Smorodinsky-Winternitz Systems
, 2010 There exist a relation between the Klein-Gordon and the Dirac equations with scalar and vector potentials of equal magnitude (SVPEM) and the Schrodinger equation. We obtain the relativistic energy spectrum for the four Smorodinsky-Winternitz systems from
Ian Marquette +4 more
core +1 more source