Generalisations of the LaplaceRungeLenz Vector (Q4443761)

scientific article; zbMATH DE number 2027914

Language	Label	Description	Also known as
English	Generalisations of the LaplaceRungeLenz Vector	scientific article; zbMATH DE number 2027914

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instance of

scholarly article

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title

Generalisations of the LaplaceRungeLenz Vector (English)

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Journal of Nonlinear Mathematical Physics

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publication date

19 February 2004

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full work available at URL

https://arxiv.org/abs/math-ph/0403028

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zbMATH Keywords

symmetry

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angular momentum vector

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Lie algebra

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conserved vector

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MaRDI profile type

MaRDI publication profile

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cites work

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Hidden symmetries associated with the projective group of nonlinear first-order ordinary differential equations

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Low-energy scattering of non-Abelian magnetic monopoles

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Comment on 'The relationship between the symmetries of and the existence of conserved vectors for the equation r..+f(r)L+g(r)=0'

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Properties of second-order ordinary differential equations invariant under time translation and self-similar transformation

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On the construction of a dynamical system from a preassigned family of solutions

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Bessel Functions and Kepler's Equation

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Relativistic quantum mechanics

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Q5821085

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On the early history of Bessel functions

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Three-Dimensional Isotropic Harmonic Oscillator and SU3

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On the polynomial first integrals of certain second-order differential equations

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Hamilton-like vectors for a class of Kepler problems with a force proportional to the velocity

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FIRST INTEGRALS ASSOCIATED WITH THE ADDITIONAL SYMMETRY OF CENTRAL FORCE PROBLEMS WITH POWER LAW POTENTIALS

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The first integrals and their Lie algebra of the most general autonomous Hamiltonian of the form H = T + V possessing a Laplace-Runge-Lenz vector

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The algebraic structure of generalized Ermakov systems in three dimensions

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Hamiltonians with high-order integrals and the ‘‘weak-Painlevé’’ concept

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LIE, a PC program for Lie analysis of differential equations

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On the Problem of Degeneracy in Quantum Mechanics

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Integrals of motion for the classical two-body problem with drag

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Time-dependent quadratic constants of motion, symmetries, and orbit equations for classical particle dynamical systems with time-dependent Kepler potentials

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Time-dependent vector constants of motion, symmetries, and orbit equations for the dynamical system r̈=îr{[Ü(t)/U(t)]r −[μ/U(t)]r−2}

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On the complete symmetry group of the classical Kepler system

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Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic

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On the theory of time-dependent linear canonical transformations as applied to Hamiltonians of the harmonic oscillator type

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Applications of the Lie theory of extended groups in Hamiltonian mechanics: the oscillator and the Kepler problem

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Classes of potentials of time-dependent central force fields which possess first integrals quadratic in the momenta

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Comment on an aspect of a paper by G. Thompson

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The first integrals and orbit equation for the Kepler problem with drag

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Symmetries and Integrating Factors

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Real Forms of the Complex Twisted N=2 Supersymmetric Toda Chain Hierarchy in Real N=1 and Twisted N=2 Superspaces

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Analysis and solution of a nonlinear second-order differential equation through rescaling and through a dynamical point of view

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The relationship between the symmetries of and the existence of conserved vectors for the equation r..+f(r)L+g(r)r=0

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Symmetries of first integrals and their associated differential equations

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Symmetry, Singularities and Integrability in Complex Dynamics V: Complete Symmetry Groups of Certain Relativistic Spherically Symmetric Systems

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Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators

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A direct approach to finding exact invariants for one-dimensional time-dependent classical Hamiltonians

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An analytic solution to the classical two-body problem with drag

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Geometric quantisation of the MIC-Kepler problem

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A note on the invariants for the time-dependent oscillator

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The complete Kepler group can be derived by Lie group analysis

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Long-buried dismantling of a centuries-old myth: Newton’s P r i n c i p i a and inverse-square orbits

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Identifiers

zbMATH Open document ID

1039.70007

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DOI

10.2991/jnmp.2003.10.3.6

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4443761

Generalisations of the Laplace­Runge­Lenz Vector (Q4443761)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)

Generalisations of the LaplaceRungeLenz Vector (Q4443761)