Semiclassical perturbations of single-degree-of-freedom Hamiltonian systems. II: Nonintegrability
From MaRDI portal
Publication:6632845
DOI10.1063/5.0198422MaRDI QIDQ6632845
Publication date: 5 November 2024
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Perturbation theories for operators and differential equations in quantum theory (81Q15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Differential algebra (12H05) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Galoisian obstructions to non-Hamiltonian integrability
- The semiclassical expansion
- Extended integrability and bi-Hamiltonian systems
- Raising and lowering operators for semiclassical wave packets
- On the three-body problem and the equations of dynamics
- Galoisian obstructions to integrability of Hamiltonian systems. I.
- Nonintegrability of nearly integrable dynamical systems near resonant periodic orbits
- Approximation of semiclassical expectation values by symplectic Gaussian wave packet dynamics
- Obstructions to integrability of nearly integrable dynamical systems near regular level sets
- Integrability and non-integrability in Hamiltonian mechanics
- Picard-Vessiot Extensions of Real Differential Fields
- A differential Galois approach to path integrals
- The method of Melnikov for perturbations of multi-degree-of-freedom Hamiltonian systems
- A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory
- On the Definition and Approximation of Feynman's Path Integrals
- Functional Integration
- Differential Galois theory and non-integrability of Hamiltonian systems
- Nonintegrability of forced nonlinear oscillators
- Semiclassical quantification of some two degree of freedom potentials: A differential Galois approach
- Nonintegrability of dissipative planar systems
- Nonintegrability of time-periodic perturbations of single-degree-of-freedom Hamiltonian systems near homo- and heteroclinic orbits
- Semiclassical perturbations of single-degree-of-freedom Hamiltonian systems. I: Separatrix splitting
Related Items (1)
Semiclassical perturbations of single-degree-of-freedom Hamiltonian systems. I: Separatrix splitting
This page was built for publication: Semiclassical perturbations of single-degree-of-freedom Hamiltonian systems. II: Nonintegrability