Symmetries of the time-dependent N-dimensional oscillator
From MaRDI portal
Publication:3870387
DOI10.1088/0305-4470/13/3/015zbMath0432.70036OpenAlexW2001222118MaRDI QIDQ3870387
No author found.
Publication date: 1980
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/13/3/015
structure theorycompact Lie groups of differentiable transformationstime-dependent N-dimensional oscillatortransformations groups and semigroups
General structure theory for semigroups (20M10) Compact Lie groups of differentiable transformations (57S15) Structure theory of linear operators (47A65) Linear vibration theory (70J99)
Related Items
Perturbations of Lagrangian systems based on the preservation of subalgebras of Noether symmetries, Duality transformation and conformal equivalent scalar–tensor theories, THE LINEAR SYMTRIES OF A NONLINEAR DIFFERENTIAL EQUATION, Linearizing systems of second-order ODEs via symmetry generators spanning a simple subalgebra, Li(e)nearity, Noether’s theorem, the Rund–Trautman function, and adiabatic invariance, Lie and Noether point symmetries for a class of nonautonomous dynamical systems, An alternative approach to systems of second-order ordinary differential equations with maximal symmetry. Realizations of \(\mathfrak{sl}(n+2,\mathbb{R})\) by special functions, Symmetries and stability of motions in the Newtonian and the Hookean potentials, Algebraic linearization criteria for systems of ordinary differential equations, Lie point symmetries for systems of second order linear ordinary differential equations, Symmetry group classification of three-dimensional Hamiltonian systems, LIE SYSTEMS AND INTEGRABILITY CONDITIONS FOR t-DEPENDENT FREQUENCY HARMONIC OSCILLATORS, AN EXACT SOLUTION TO THE QUANTIZED ELECTROMAGNETIC FIELD IN D-DIMENSIONAL DE SITTER SPACE–TIMES, Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. IV. Classical (velocity-independent) mappings of second-order differential equations, Two-dimensional systems that arise from the Noether classification of Lagrangians on the line, Quadratic conservation laws and collineations: a discussion, Symmetries of Hamiltonian systems with two degrees of freedom, Single resonance integrals for two-dimensional Hamiltonians, Another representation for the maximal Lie algebra of \(\mathfrak{sl}(n+2,\mathbb R)\) in terms of operators, A direct approach to finding exact invariants for one-dimensional time-dependent classical Hamiltonians, Symmetries and integrability of a fourth-order Euler–Bernoulli beam equation, A resonance formulation for invariants of particle motion in a one- dimensional time-dependent potential, Exact invariants for a class of time-dependent nonlinear Hamiltonian systems, Classification scheme for two-dimensional Ermakov-type systems and generalizations, Ermakov systems, velocity dependent potentials, and nonlinear superposition
