An infinite family of solvable and integrable quantum systems on a plane - Mathematical PhysicsReportar como inadecuado




An infinite family of solvable and integrable quantum systems on a plane - Mathematical Physics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: An infinite family of exactly-solvable and integrable potentials on a planeis introduced. It is shown that all already known rational potentials with theabove properties allowing separation of variables in polar coordinates areparticular cases of this family. The underlying algebraic structure of the newpotentials is revealed as well as its hidden algebra. We conjecture that allmembers of the family are also superintegrable and demonstrate this for thefirst few cases. A quasi-exactly-solvable and integrable generalization of thefamily is found.



Autor: Frédérick Tremblay, Alexander V. Turbiner, Pavel Winternitz

Fuente: https://arxiv.org/







Documentos relacionados