LIE SYSTEMS AND INTEGRABILITY CONDITIONS FOR t-DEPENDENT FREQUENCY HARMONIC OSCILLATORS
From MaRDI portal
Publication:3552534
DOI10.1142/S0219887810004014zbMath1205.34035arXiv0908.2292MaRDI QIDQ3552534
José F. Cariñena, Manuel F. Rañada, Javier de Lucas
Publication date: 22 April 2010
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0908.2292
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)
Related Items
Explicit solutions of the \({\mathfrak{a}_1}\)-type Lie-Scheffers system and a general Riccati equation ⋮ A geometric approach to integrability of Abel differential equations ⋮ Integrability of Lie Systems through Riccati Equations ⋮ Recent advances on Lie systems and their applications
Cites Work
- Unnamed Item
- Classical superintegrable \(SO(p,q)\) Hamiltonian systems
- On integrable by quadratures generalized Riccati-Abel equations: Differential-geometric and Lie-algebraic analysis
- A geometric approach to time evolution operators of Lie quantum systems
- Superposition rules, Lie theorem, and partial differential equations
- Superposition principles for matrix Riccati equations
- APPLICATIONS OF LIE SYSTEMS IN DISSIPATIVE MILNE–PINNEY EQUATIONS
- Perturbative quantum corrections and flux compactifications
- Integrability of Lie systems and some of its applications in physics
- Quasi-Lie schemes: theory and applications
- Invariants for the time-dependent harmonic oscillator
- Symmetries of the time-dependent N-dimensional oscillator
- Noether’s theorem, time-dependent invariants and nonlinear equations of motion
- The complete symmetry group of the one-dimensional time-dependent harmonic oscillator
- First integrals and symmetries of time-dependent Hamiltonian systems
- Dynamical symmetries, non-Cartan symmetries and superintegrability of then-dimensional harmonic oscillator
- Dynamical algebraic approach and invariants for time-dependent Hamiltonian systems in two dimensions
- The algebraic structure of generalized Ermakov systems in three dimensions
- Non-symplectic symmetries and bi-Hamiltonian structures of the rational harmonic oscillator
- Superintegrable systems on the two-dimensional sphere S2 and the hyperbolic plane H2
- On the superintegrability of Calogero-Moser-Sutherland model
- INTEGRABILITY OF THE RICCATI EQUATION FROM A GROUP-THEORETICAL VIEWPOINT
- QUANTUM LIE SYSTEMS AND INTEGRABILITY CONDITIONS
- Reduction of time-dependent systems admitting a superposition principle
This page was built for publication: LIE SYSTEMS AND INTEGRABILITY CONDITIONS FOR t-DEPENDENT FREQUENCY HARMONIC OSCILLATORS