Lie algebraic approach to the Hellmann Hamiltonian by considering perturbation method

DOI10.1134/s0040577924120092MaRDI QIDQ6663793

Hamidreza Rahmati

Publication date: 15 January 2025

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Runge-Lenz vectorHellmann potentialprecession motion\(so(4)\) Lie algebraKolmogorov method

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Applications of Lie algebras and superalgebras to integrable systems (17B80) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)

Cites Work

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