Ermakov-Lewis invariants and Reid systems
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Publication:5964305
DOI10.1016/j.physleta.2014.05.008zbMath1331.34048arXiv1402.4402OpenAlexW2078068742MaRDI QIDQ5964305
Haret C. Rosu, Stefan C. Mancas
Publication date: 29 February 2016
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.4402
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Generalized Thomas-Fermi equations as the Lampariello class of Emden-Fowler equations ⋮ Existence of periodic orbits in nonlinear oscillators of Emden-Fowler form ⋮ Comment on demystifying the constancy of the Ermakov–Lewis invariant for a time-dependent oscillator ⋮ Li(e)nearity ⋮ Noether symmetries and conservation laws of a reduced gauged bilayer graphene model ⋮ Symmetries and conservation laws for the generalized n‐dimensional Ermakov system
Cites Work
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- Newton’s laws of motion in the form of a Riccati equation
- The damped Pinney equation and its applications to dissipative quantum mechanics
- Exact time dependence of solutions to the time-dependent Schrödinger equation
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- A Note on the Time-Dependent Harmonic Oscillator
- Generalized Hamiltonian structures for Ermakov systems
- The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0
- Steen's 1874 paper: Historical survey and translation
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