Results 241 to 250 of about 1,420,963 (277)

Self-adjoint Hamilton Operators

2003
The time evolution of a classical mechanical system is governed by the Hamilton function. Similarly, the Hamilton operator determines the time evolution of a quantum mechanical system and this operator provides information about the total energy of the system in specific states.
Philippe Blanchard, Erwin Brüning
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Classical Analogs of Unitarily Equivalent Hamilton Operators

Foundations of Physics, 1998
A unitary transformation replaces the given description of a quantum system by an equivalent one. It is observed, however, that not all members of a set of unitarily equivalent Hamilton operators are equally well suited for identifying the corresponding classical systems. A criterion is proposed for recognizing the privileged representatives of the set.
B. Englert
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On local spectral properties of Hamilton type operators

Acta Mathematicae Applicatae Sinica, English Series, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shen, Jun-li, Alatancang
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Hamilton Type Gradient Estimate for the Sub-Elliptic Operators

Potential Analysis, 2014
Let \(M \) be a smooth, connected, finite-dimensional manifold endowed with a smooth measure and a symmetric, second-order, locally sub-elliptic and negative diffusion operator \(L \) satisfying \(L 1=0 \) as in [\textit{F. Baudoin} et al., Math. Ann. 358, No. 3--4, 833--860 (2014; Zbl 1287.53025)].
B. Qian
openaire   +3 more sources

Hamilton operators and dual-number-quaternions in spatial kinematics

Mechanism and Machine Theory, 1987
Abstract Dual-number-quaternions are used frequently in spatial screw motion of a rigid body. In this paper, two Hamilton operators are defined and the algebra of dual-number-quaterinions is developed using these operators. Properties of Hamilton operators are then used to find some mathematical expressions for screw motion of a line and a point. The
O. Agrawal
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Global Solutions to Nonconvex Problems by Evolution of Hamilton-Jacobi PDEs

Communication on Applied Mathematics and Computation, 2022
Computing tasks may often be posed as optimization problems. The objective functions for real-world scenarios are often nonconvex and/or nondifferentiable.
Howard Heaton, Samy Wu Fung, S. Osher
semanticscholar   +1 more source

Integrated Operations... Hamilton Farm Bureau Cooperative

1959
Excerpts from the report: This is the third in a series of case studies by Farmer Cooperative Service on the integrated operations of cooperatives. It is the first such study, however, that deals specifically with the integration process as it has been developed by a local association.
Abrahamsen, Martin A., Abrahamsen, Martin A.   +1 more
openaire   +1 more source

Neural operators struggle to learn complex PDEs in pedestrian mobility: Hughes model case study

arXiv.org
This paper investigates the limitations of neural operators in learning solutions for a Hughes model, a first-order hyperbolic conservation law system for crowd dynamics.
Prajwal Chauhan, S. E. Choutri, M. Ghattassi, Nader Masmoudi, S. Jabari   +4 more
semanticscholar   +1 more source

Data-Driven Stochastic Optimal Control With Safety Constraints Using Linear Transfer Operators

IEEE Transactions on Automatic Control
In this article, we provide a data-driven framework for optimal control of a continuous-time control-affine stochastic dynamical system. The proposed framework relies on the linear operator theory involving Perron–Frobenius (P-F) and Koopman operators ...
U. Vaidya, D. Tellez-Castro
semanticscholar   +1 more source

Wasserstein proximal operators describe score-based generative models and resolve memorization

arXiv.org
We focus on the fundamental mathematical structure of score-based generative models (SGMs). We first formulate SGMs in terms of the Wasserstein proximal operator (WPO) and demonstrate that, via mean-field games (MFGs), the WPO formulation reveals ...
Benjamin J. Zhang, Siting Liu, Wuchen Li, M. Katsoulakis, Stanley Osher   +4 more
semanticscholar   +1 more source