Darboux integrals for Schrödinger planar vector fields via Darboux transformations

DOI10.3842/SIGMA.2012.043zbMath1281.34045arXiv1111.0120MaRDI QIDQ352304

Chara Pantazi, Primitivo Belén Acosta-Humánez

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.0120

zbMATH Keywords

Schrödinger equationdifferential Galois theorysupersymmetric quantum mechanicsDarboux transformationsDarboux theory of integrability

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Linear ordinary differential equations and systems (34A30) Differential algebra (12H05)

Related Items (7)

Generalized Lennard-Jones potentials, SUSYQM and differential Galois theory ⋮ Boundary-value problems for the evolutionary Schrödinger equation. I ⋮ Picard-Vessiot theory and integrability ⋮ On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory ⋮ Galoisian and qualitative approaches to linear Polyanin-Zaitsev vector fields ⋮ Nonintegrability of the unfoldings of codimension-two bifurcations ⋮ Algebraic and qualitative remarks about the family \(yy' = (\alpha x^{m+k-1} + \beta x^{m-k-1})y + \gamma x^{2m-2k-1}\)

This page was built for publication: Darboux integrals for Schrödinger planar vector fields via Darboux transformations