Multiseparability and superintegrability in three dimensions

Autor:	Jonathan M. Kress, Ernie G. Kalnins
Rok vydání:	2002
Předmět:	Physics Statement (computer science) Nuclear and High Energy Physics Euclidean space Coordinate system Elementary particle Atomic and Molecular Physics and Optics Separable space Schrödinger equation symbols.namesake If and only if symbols Schrödinger's cat Mathematical physics
Zdroj:	Physics of Atomic Nuclei. 65:1047-1051
ISSN:	1562-692X 1063-7788
DOI:	10.1134/1.1490109
Popis:	In complex two-dimensional Euclidean space, the Hamilton-Jacobi or Schrodinger equation with a given “nondegenerate” potential is maximally superintegrable if and only if it is separated in more than one coordinate system. A similar statement for three dimensions is not known. In this paper, a start will be made on this problem by investigating the known separable Hamilton-Jacobi and Schrodinger systems to find those that are superintegrable.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c9d8ffb916b54fb5b867e402365eebaf https://doi.org/10.1134/1.1490109 Zobrazit plný text záznamu Plný text ve formátu PDF