RT info:eu-repo/semantics/article
T1 Solutions to the Painlevé V equation through supersymmetric quantum mechanics
A1 Bermúdez, David
A1 Fernández C., David J.
A1 Negro Vadillo, Francisco Javier
AB In this paper we shall use the algebraic method known as supersymmetric quantum mechanics (SUSY QM) to obtain solutions to the Painlevé V (PV) equation, a second-order nonlinear ordinary differential equation. For this purpose, we will apply first the SUSY QM treatment to the radial oscillator. In addition, we will revisit the polynomial Heisenberg algebras (PHAs) and we will study the general systems ruled by them: for first-order PHAs we obtain the radial oscillator while for third-order PHAs the potential will be determined by solutions to the PV equation. This connection allows us to introduce a simple technique for generating solutions of the PV equation expressed in terms of confluent hypergeometric functions. Finally, we will classify them into several solution hierarchies.
YR 2016
FD 2016
LK http://uvadoc.uva.es/handle/10324/22874
UL http://uvadoc.uva.es/handle/10324/22874
LA eng
NO Journal of Physics A: Mathematical and Theoretical 49 (2016) 335203 (37 pp).
NO Física Teórica, Atómica y Óptica
DS UVaDOC
RD 12-jul-2024