Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Superintegrable Potentials and superposition of Higgs Oscillators on the Sphere S²

100%

Rañada M., Sanz-Gil T., Santander M.

Banach Center Publications

2003

tom 59

nr 1

243-255

The spherical version of the two-dimensional central harmonic oscillator, as well as the spherical Kepler (Schrödinger) potential, are superintegrable systems with quadratic constants of motion. They belong to two different spherical "Smorodinski-Winternitz" families of superintegrable potentials. A new superintegrable oscillator have been recently found in S². It represents the spherical version of the nonisotropic 2:1 oscillator and it also belongs to a spherical family of quadratic superintegrable potentials. In the first part of the article, several properties related to the integrability and superintegrability of these spherical families of potentials are studied. The second part is devoted to the analysis of the properties of the spherical (isotropic and nonisotropic) harmonic oscillators.

Ograniczanie wyników

1 Banach Center Publications

1 Rañada M.

1 Santander M.

1 Sanz-Gil T.

1 2003

Wyniki wyszukiwania

Superintegrable Potentials and superposition of Higgs Oscillators on the Sphere S²