Hamilton–Jacobi Equation for a Charged Test Particle in the Stäckel Space of Type (2.0)

2020/07/31 by В. В. Обухов, Valeriy Obukhov · 1 citation
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Charged particle #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Electromagnetic field #Field (mathematics) #Geophysics and Gravity Measurements #Hamilton–Jacobi equation #Mathematical analysis #Mathematical physics #Mathematics #Motion (physics) #Partial differential equation #Particle (ecology) #Physics #Pure mathematics #Quantum mechanics #Relativity and Gravitational Theory #Separation of variables #Space (punctuation) #Tensor (intrinsic definition) #Test particle #Type (biology) #gr-qc #msc:83C10 #msc:83C15 #msc:83C20 #msc:83C50

paper · pdf · doi:10.3390/sym12081289

published as Symmetry.(2020),12, 8, 2432 · 17 pagas, submitted to Symmetry

openalex created_date 2020/07/23 · openalex publication_date 2020/08/03 · arxiv created 2020/12/11 · arxiv updated 2020/12/14 · openalex updated_date 2026/08/05

Abstract

All electromagnetic potentials and space–time metrics of Stäckel spaces of type (2.0) in which the Hamilton–Jacobi equation for a charged test particle can be integrated by the method of complete separation of variables are found. Complete sets of motion integrals, as well as complete sets of killing vector and tensor fields, are constructed. The results can be used when studying solutions of field equations in the theory of gravity.

Citations

• Separability of the Hamilton–Jacobi and Klein–Gordon equations in Kerr–de Sitter metrics
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Sulla integrazione della equazione di Hamilton-Jacobi per separazione di variabili
• Classical and Quantum Superintegrability with Applications
• Separation of variables in Hamilton–Jacobi equation for a charged test particle in the Stackel spaces of type (2.1)

Cited by

• Classification of Einstein spaces with Stackel metric of type (3.0)