2006HispanaOpen access

Symmetries, bi-Hamiltonian Structures and Harmonic Oscillators

Manuel F. Rañada

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Abstract

The properties of the bi-Hamiltonian structures of the harmonic oscillator are studied using the geometric theory of symmetries as an approach.Two superintegrable systems related with the harmonic oscillator are also analyzed.

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The properties of the bi-Hamiltonian structures of the harmonic oscillator are studied using the geometric theory of symmetries as an approach.Two superintegrable systems related with the harmonic oscillator are also analyzed.

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Available abstract

The properties of the bi-Hamiltonian structures of the harmonic oscillator are studied using the geometric theory of symmetries as an approach.Two superintegrable systems related with the harmonic oscillator are also analyzed.

Key concepts: Harmonic oscillator, Homogeneous space, Hamiltonian (control theory), Mathematics, Hamiltonian system, Anharmonicity, Physics, Mathematical physics

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