Results 51 to 60 of about 78,450 (174)

To what extent do the Classical Equations of Motion Determine the Quantization Scheme?

, 2000
A simple example of one particle moving in a (1+1) space-time is considered. As an example we take the harmonic oscillator. We confirm the statement that the classical Equations of Motion do not determine at all the quantization scheme.
Engels E., Hamel G., Hirsh A., J. Cislo, J. Lopuszański, Kuerschak J.   +5 more
core   +1 more source

A Hybrid Semi‐Inverse Variational and Machine Learning Approach for the Schrödinger Equation

Advanced Physics Research, EarlyView.
A hybrid semi‐inverse variational and machine‐learning framework is presented for solving the Schrödinger equation with complex quantum potentials. Physics‐based variational solutions generate high‐quality training data, enabling Random Forest and Neural Network models to deliver near‐perfect energy predictions.
Khalid Reggab, Houssam Eddine Hailouf, Kingsley Onyebuchi Obodo, Mireille Megnidio‐Tchoukouegno, Mohammed Benali Kanoun, Souraya Goumri‐Said   +5 more
wiley   +1 more source

Just-in-Time Optimal Routing in the Presence of Non-Uniform and Time-Evolving Uncertainty

Applied Sciences
Trajectory planning aims to compute an optimal path and velocity of an agent through the minimization of a cost function. This paper proposes a just-in-time routing method, incorporating the stochastic minimization of a cost function, which ingests the ...
Chady Ghnatios, Francisco Chinesta
doaj   +1 more source

Dynamical equations of multibody systems on Lie groups

Advances in Mechanical Engineering, 2015
The Euler–Poinaré principle is a reduced Hamilton’s principle under Lie group framework. In this article, it is applied to derive a hybrid set of dynamical equations of rigid multibody systems, which include four parts: the classical Euler–Lagrange ...
Wenjie Yu, Zhenkuan Pan
doaj   +1 more source

A Fractional Variational Approach for Modelling Dissipative Mechanical Systems: Continuous and Discrete Settings

, 2018
Employing a phase space which includes the (Riemann-Liouville) fractional derivative of curves evolving on real space, we develop a restricted variational principle for Lagrangian systems yielding the so-called restricted fractional Euler-Lagrange ...
Jiménez, Fernando, Ober-Blöbaum, Sina
core   +1 more source

Front Propagation Through a Perforated Wall

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki, François Hamel, Hiroshi Matano   +2 more
wiley   +1 more source

Noether symmetry approach to the non-minimally coupled $$Y(R)F^2$$ Y(R)F2 gravity

European Physical Journal C: Particles and Fields, 2020
We use Noether symmetry approach to find spherically symmetric static solutions of the non-minimally coupled electromagnetic fields to gravity. We construct the point-like Lagrangian under the spherical symmetry assumption.
Özcan Sert, Fatma Çeliktaş
doaj   +1 more source

Nonsilting transport characteristics of coal slurry in a deep underground fluidization conveying pipeline under the action of a guide vane swirler

Deep Underground Science and Engineering, EarlyView.
Aiming at the scientific frontiers of in situ fluidized mining of deep resources, a deep coal fluidized pipeline lifting system based on hydraulic conveying has been proposed. To solve the issue of particle sedimentation of large particles in horizontal connection sections, a solution involving the installation of guide vane‐type swirlers in the ...
Jiusheng Bao, Shaodi Zhao, Yan Yin, Zhongbin Wang, Shuai Liu, Shirong Ge   +5 more
wiley   +1 more source

A General System of Euler–Lagrange-Type Quadratic Functional Equations in Menger Probabilistic Non-Archimedean 2-Normed Spaces

Abstract and Applied Analysis, 2011
We prove the generalized Hyers-Ulam-Rassias stability of a general system of Euler-Lagrange-type quadratic functional equations in non-Archimedean 2-normed spaces and Menger probabilistic non-Archimedean-normed spaces.
M. Eshaghi Gordji, M. B. Ghaemi, Y. J. Cho, H. Majani   +3 more
doaj   +1 more source

Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver

International Journal for Numerical Methods in Fluids, EarlyView.
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley   +1 more source