Construction of complex invariants for classical dynamical systems
From MaRDI portal
Publication:5938533
DOI10.1006/aphy.2000.6108zbMath0985.70012OpenAlexW2086667830MaRDI QIDQ5938533
Publication date: 22 July 2001
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/aphy.2000.6108
complex dynamical invariantsextended complex phase planeLie algebraic methodsone-dimensional Hamiltonian systemsrationalization
Hamilton's equations (70H05) Dynamical systems in classical and celestial mechanics (37N05) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)
Related Items (11)
Some remarks on complex Hamiltonian systems ⋮ Eigenspectra of a complex coupled harmonic potential in three dimensions ⋮ \(\mathcal{PT}\)-symmetric quartic anharmonic oscillator and position-dependent mass in a perturbative approach ⋮ Complex dynamical invariant for a \(\mathcal{PT}\)-symmetric Hamiltonian system in higher dimensions ⋮ Higher order polynomial complex invariants for one-dimensional anharmonic potentials ⋮ Complex integrals for 3-dimensional non-Hermitian Hamiltonian systems ⋮ Classical oscillator with position-dependent mass in a complex domain ⋮ Real description of classical Hamiltonian dynamics generated by a complex potential ⋮ Quantum motion in complex space ⋮ Complex invariants for some time-independent and time-dependent classical systems ⋮ Quantum dynamics of hydrogen atom in complex space
Cites Work
- Construction of exact invariants for classical dynamical systems in three dimensions
- Construction of exact invariants for time-dependent classical dynamical systems
- Complex trajectories in the quartic oscillator and its semiclassical coherent-state propagator
- Exact solution for Morse oscillator in \(\mathcal P\mathcal T\)-symmetric quantum mechanics
- Some remarks on complex Hamiltonian systems
- Dynamical Noether invariants for time-dependent nonlinear systems
- Strong-coupling expansions for the -symmetric oscillators
- Dynamical algebraic approach and invariants for time-dependent Hamiltonian systems in two dimensions
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- 𝓟𝓣-symmetric quantum mechanics
- Exact Quantization Conditions. II
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Construction of complex invariants for classical dynamical systems
