Superintegrable deformations of superintegrable systems: Quadratic superintegrability and higher-order superintegrability

Rañada, M. F. (Universidad de Zaragoza)

Resumen: The superintegrability of four Hamiltonians Hr = ¿ H r, r = a, b, c, d, where Hr are known Hamiltonians and ¿ is a certain function defined on the configuration space and depended on a parameter ¿, is studied. The new Hamiltonians, and the associated constants of motion Jri, i = 1, 2, 3, are continous functions of the parameter ¿. The first part is concerned with separability and quadratic superintegrability (the integrals of motion are quadratic in the momenta) and the second part is devoted to the existence of higher-order superintegrability. The results obtained in the second part are related with the Tremblay-Turbiner-Winternitz and the Post-Winternitz systems.

Idioma: Inglés

DOI: 10.1063/1.4918611

Año: 2015

Publicado en: JOURNAL OF MATHEMATICAL PHYSICS 56 (2015), 042703
ISSN: 0022-2488

Factor impacto JCR: 1.234 (2015)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 25 / 53 = 0.472 (2015) - Q2 - T2

Factor impacto SCIMAGO: 0.792 - Statistical and Nonlinear Physics (Q2) - Mathematical Physics (Q2)

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Física Teórica (Dpto. Física Teórica)