scholarly journals Parametric orbit equation and symmetries of classical particle in the field of noncentral force

2005 ◽  
Vol 54 (4) ◽  
pp. 1460
Author(s):  
Lou Zhi-Mei
Keyword(s):  
Classical Particle ◽  
Orbit Equation

A Primary Study on Classical Particle Modeling of Electron-Wave Interference Systems

2014 ◽  
Vol 1 ◽  
pp. 324-327 ◽  
Author(s):  
Keisuke Nagata ◽  
Wataru Nakashima ◽  
Hisato Fujisaka ◽  
Takeshi Kamio ◽  
Kazuhisa Haeiwa
Keyword(s):  
Classical Particle ◽  
Primary Study ◽  
Electron Wave ◽  
Wave Interference ◽  
Particle Modeling

scholarly journals Dynamic Indoor Localization Using Maximum Likelihood Particle Filtering

Sensors ◽  
2021 ◽  
Vol 21 (4) ◽  
pp. 1090
Author(s):  
Wenxu Wang ◽  
Damián Marelli ◽  
Minyue Fu
Keyword(s):  
Maximum Likelihood ◽  
Particle Filtering ◽  
Indoor Localization ◽  
Real Data ◽  
High Accuracy ◽  
Classical Particle ◽  
Popular Approach ◽  
Filtering Method ◽  
Essential Idea ◽  
Number Of Particles

A popular approach for solving the indoor dynamic localization problem based on WiFi measurements consists of using particle filtering. However, a drawback of this approach is that a very large number of particles are needed to achieve accurate results in real environments. The reason for this drawback is that, in this particular application, classical particle filtering wastes many unnecessary particles. To remedy this, we propose a novel particle filtering method which we call maximum likelihood particle filter (MLPF). The essential idea consists of combining the particle prediction and update steps into a single one in which all particles are efficiently used. This drastically reduces the number of particles, leading to numerically feasible algorithms with high accuracy. We provide experimental results, using real data, confirming our claim.

scholarly journals Unsteady dynamics of a classical particle-wave entity

2021 ◽  
Vol 104 (1) ◽  
Author(s):  
Rahil N. Valani ◽  
Anja C. Slim ◽  
David M. Paganin ◽  
Tapio P. Simula ◽  
Theodore Vo
Keyword(s):  
Classical Particle

scholarly journals Efficient Numerical Evaluation of Thermodynamic Quantities on Infinite (Semi-)classical Chains

2021 ◽  
Vol 182 (3) ◽  
Author(s):  
Christian B. Mendl ◽  
Folkmar Bornemann
Keyword(s):  
Transfer Operator ◽  
Classical System ◽  
Free Energy Density ◽  
Classical Particle ◽  
Thermodynamic Quantities ◽  
Nls Equation ◽  
Classical Systems ◽  
Particle Chain ◽  
Dynamics Simulations ◽  
Good Agreement

AbstractThis work presents an efficient numerical method to evaluate the free energy density and associated thermodynamic quantities of (quasi) one-dimensional classical systems, by combining the transfer operator approach with a numerical discretization of integral kernels using quadrature rules. For analytic kernels, the technique exhibits exponential convergence in the number of quadrature points. As demonstration, we apply the method to a classical particle chain, to the semiclassical nonlinear Schrödinger (NLS) equation and to a classical system on a cylindrical lattice. A comparison with molecular dynamics simulations performed for the NLS model shows very good agreement.

Resonance tunneling of a classical particle

1996 ◽  
Vol 53 (1) ◽  
pp. 1250-1252 ◽  
Author(s):  
V. Berdichevsky ◽  
M. Gitterman
Keyword(s):  
Classical Particle ◽  
Resonance Tunneling

scholarly journals Axiomatic Foundations of Classical Particle Mechanics

1953 ◽  
Vol 2 (2) ◽  
pp. 253-272 ◽  
Author(s):  
J. McKinsey ◽  
A. Sugar ◽  
Patrick Suppes
Keyword(s):  
Classical Particle ◽  
Particle Mechanics

scholarly journals On Solving Hyperbolic Trajectory Using New Predictor-Corrector Quadrature Algorithms

2014 ◽  
Vol 11 (1) ◽  
pp. 186-192
Author(s):  
Baghdad Science Journal
Keyword(s):  
Quadrature Formula ◽  
Grid Size ◽  
Hyperbolic Orbit ◽  
Efficient Manner ◽  
Hyperbolic Case ◽  
Eccentric Anomaly ◽  
Kepler’S Equation ◽  
Orbit Equation ◽  
Predictor Corrector ◽  
Better Than

In this Paper, we proposed two new predictor corrector methods for solving Kepler's equation in hyperbolic case using quadrature formula which plays an important and significant rule in the evaluation of the integrals. The two procedures are developed that, in two or three iterations, solve the hyperbolic orbit equation in a very efficient manner, and to an accuracy that proves to be always better than 10-15. The solution is examined with and with grid size , using the first guesses hyperbolic eccentric anomaly is and , where is the eccentricity and is the hyperbolic mean anomaly.

scholarly journals Geometrization of the Schrödinger equation: Application of the Maupertuis Principle to quantum mechanics

2014 ◽  
Vol 11 (08) ◽  
pp. 1450066 ◽  
Author(s):  
Antonia Karamatskou ◽  
Hagen Kleinert
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Particle Density ◽  
Free Particle ◽  
Beltrami Operator ◽  
Classical Particle ◽  
Geometric Form ◽  
Curved Space ◽  
Maupertuis Principle ◽  
Semiclassical Expansion

In its geometric form, the Maupertuis Principle states that the movement of a classical particle in an external potential V(x) can be understood as a free movement in a curved space with the metric gμν(x) = 2M[V(x) - E]δμν. We extend this principle to the quantum regime by showing that the wavefunction of the particle is governed by a Schrödinger equation of a free particle moving through curved space. The kinetic operator is the Weyl-invariant Laplace–Beltrami operator. On the basis of this observation, we calculate the semiclassical expansion of the particle density.

Hamiltonians in Relativistic Classical Particle Mechanics

1968 ◽  
Vol 166 (5) ◽  
pp. 1308-1316 ◽  
Author(s):  
Thomas F. Jordan
Keyword(s):  
Classical Particle ◽  
Particle Mechanics
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