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Integrable time-dependent central potentials (Q2064197)

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scientific article; zbMATH DE number 7452189

Language	Label	Description	Also known as
English	Integrable time-dependent central potentials	scientific article; zbMATH DE number 7452189

Statements

scholarly article

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Integrable time-dependent central potentials (English)

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Antonios Mitsopoulos

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Michael Tsamparlis

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Physics Letters. A

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publication date

5 January 2022

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full work available at URL

https://arxiv.org/abs/2111.08624

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zbMATH Keywords

time-dependent central potentials

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quadratic first integrals

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MaRDI profile type

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Second-order differential equations: Conditions of complete integrability

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Related integral theorem. II. A method for obtaining quadratic constants of the motion for conservative dynamical systems admitting symmetries

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A transformation approach for finding first integrals of motion of dynamical systems

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Noether's theory in classical nonconservative mechanics

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Group theoretical aspects of constants of motion and separable solutions in classical mechanics

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Time-dependent dynamical symmetries and constants of motion. III. Time-dependent harmonic oscillator

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Geodesic first integrals with explicit path-parameter dependence in Riemannian space–times

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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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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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A unified treatment of cubic invariants at fixed and arbitrary energy.

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Higher order first integrals in classical mechanics

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Quadratic first integrals of autonomous conservative dynamical systems

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First integrals of holonomic systems without Noether symmetries

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Variational methods in nonconservative phenomena

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

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On the use and abuse of Newton's second law for variable mass problems

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On the two-body problem with slowly decreasing mass

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Fundamentals of Plasma Physics

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.PHYSLETA.2021.127825

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Sitelinks

Mathematics(1 entry)

mardi Publication:2064197

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