Galoisian approach to integrability of Schrödinger equation

DOI10.1016/S0034-4877(11)60019-0zbMath1238.81090arXiv1008.3445OpenAlexW2123073812MaRDI QIDQ658622

Juan J. Morales-Ruiz, Jacques-Arthur Weil, Primitivo Belén Acosta-Humánez

Publication date: 13 January 2012

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3445

zbMATH Keywords

Schrödinger equationDarboux transformationdifferential Galois groupshape invariant potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Differential algebra (12H05) Special quantum systems, such as solvable systems (81Q80)

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