Symmetry-preserving perturbations of the Bateman Lagrangian and dissipative systems

Journal Article · Wed Mar 15 00:00:00 EDT 2017 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778817020107· OSTI ID:22613984

Campoamor-Stursberg, Rutwig ^[1]

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1. Faculted de Ciencias Matematicas Universidad Complutense, Instituto de Matemática Interdisciplinar and Departamento Geometría y Topología (Spain)

Perturbations of the classical Bateman Lagrangian preserving a certain subalgebra of Noether symmetries are studied, and conservative perturbations are characterized by the Lie algebra sl(2, ℝ) ⊕ so(2). Non-conservative albeit integrable perturbations are determined by the simple Lie algebra sl(2,ℝ), showing further the relation of the corresponding non-linear systems with the notion of generalized Ermakov systems.

• OSTI ID: 22613984
• Journal Information: Physics of Atomic Nuclei, Vol. 80, Issue 2; Other Information: Copyright (c) 2017 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DISTURBANCES
INTEGRAL CALCULUS
LAGRANGIAN FUNCTION
NONLINEAR PROBLEMS
SL GROUPS
SO GROUPS