Spectral Picard-Vessiot fields for Algebro-geometric Schrödinger operators

• Published in: arXiv.org
• Main Authors: Morales-Ruiz, Juan J, Rueda, Sonia L, Maria-Angeles Zurro
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 09.02.2021
• Subjects: Algebra; Closed form solutions; Differential geometry; Exact solutions; Operators (mathematics); Parameterization; Resultants; Spectra

This work is a galoisian study of the spectral problem \(L\Psi=\lambda\Psi\), for algebro-geometric second order differential operators \(L\), with coefficients in a differential field, whose field of constants \(C\) is algebraically closed and of characteristic zero. Our approach regards the spectr...