Results 1 to 10 of about 7,283,719 (303)

The current algebra representations of quantum many-particle Schrödinger type Hamiltonian models, their factorized structure and integrability

open access: yesCondensed Matter Physics, 2019
There is developed a current algebra representation scheme for reconstructing algebraically factorized quantum Hamiltonian and symmetry operators in the Fock type space and its application to quantum Hamiltonian and symmetry operators in case of quantum ...
D. Prorok, A.K. Prykarpatski
doaj   +1 more source

The Hamiltonian and Hypohamiltonian of Generalized Petersen Graph (GP_(n,9))

open access: yesJambura Journal of Mathematics
The study of Hamiltonian and Hypohamiltonian properties in the generalized Petersen graph GP_{n,k} is interesting due to the unique structure and characteristics of these graphs. The method employed in this study involves searching for Hamiltonian cycles
Susilawati Susilawati   +3 more
doaj   +1 more source

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

open access: yesEuropean 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

Modular Hamiltonians for future-perturbed states

open access: yesJournal of High Energy Physics
We develop a perturbative understanding of the modular Hamiltonian for a 2D CFT, divided into left and right half-spaces, with a weak local perturbation inserted in the future wedge.
Xiaole Jiang   +3 more
doaj   +1 more source

Quadrature Based Neural Network Learning of Stochastic Hamiltonian Systems

open access: yesMathematics
Hamiltonian 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
doaj   +1 more source

Faddeev equation and its symmetric version for a three-particle lattice hamiltonian [PDF]

open access: yesE3S Web of Conferences
In the present paper we consider the three-particle lattice Hamiltonian associated to a system of three particles on the d-dimensional lattice, where the role of two-particle discrete Schroedinger operators is played by a family of Friedrichs models.
Umirkulova Gulhayo H.   +4 more
doaj   +1 more source

An Integrated Integrable Hierarchy Arising from a Broadened Ablowitz–Kaup–Newell–Segur Scenario

open access: yesAxioms
This study introduces a 4×4 matrix eigenvalue problem and develops an integrable hierarchy with a bi-Hamiltonian structure. Integrability is ensured by the zero-curvature condition, while the Hamiltonian structure is supported by the trace identity ...
Wen-Xiu Ma
doaj   +1 more source

Duality relation among the Hamiltonian structures of a parametric coupled Korteweg-de Vries system

open access: yesOpen Physics, 2016
We obtain the full Hamiltonian structure for a parametric coupled KdV system. The coupled system arises from four different real basic lagrangians. The associated Hamiltonian functionals and the corresponding Poisson structures follow from the geometry ...
Restuccia Alvaro, Sotomayor Adrián
doaj   +1 more source

Coarse-graining Hamiltonian systems using WSINDy

open access: yesScientific Reports
Weak form equation learning and surrogate modeling has proven to be computationally efficient and robust to measurement noise in a wide range of applications including ODE, PDE, and SDE discovery, as well as in coarse-graining applications, such as ...
Daniel A. Messenger   +2 more
doaj   +1 more source

Comparison of Alternative Port-Hamiltonian Dynamics Extensions to the Thermodynamic Domain Toward IDA-PBC-Like Control: Application to a Heat Transfer Model

open access: yesDynamics
The dynamics of port-Hamiltonian systems is based on energy balance principles (the first law of thermodynamics) embedded in the structure of the model. However, when dealing with thermodynamic subsystems, the second law (entropy production) should also ...
Oleksiy Kuznyetsov
doaj   +1 more source

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