Construction of quadratic invariants for time-dependent systems in complex phase space using Struckmeier and Riedel approach

DOI10.1016/S0034-4877(24)00052-1MaRDI QIDQ6634088

Ram Mehar Singh, S. B. Bhardwaj, Fakir Chand, S. Gupta, Vipin Kumar

Publication date: 6 November 2024

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

analytical functionsquadratic invariantscomplex phase spaceSR approach

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Quantum theory (81-XX)

Cites Work

• Towards a classification of natural integrable systems
• Complex trajectories in the quartic oscillator and its semiclassical coherent-state propagator
• Pure quantum integrability
• Complex invariants for some time-independent and time-dependent classical systems
• Integrability of a time dependent coupled harmonic oscillator in higher dimensions
• Dynamical invariants for time-dependent real and complex Hamiltonian systems
• Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators
• Generalized Hamiltonian Dynamics
• Construction of complex invariants for classical dynamical systems
• 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

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