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Liouvillian propagators, Riccati equation and differential Galois theory

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Publication:2866986
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DOI10.1088/1751-8113/46/45/455203zbMath1278.81055arXiv1304.5698OpenAlexW3104406452MaRDI QIDQ2866986

Erwin Suazo, Primitivo Belén Acosta-Humánez

Publication date: 10 December 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.5698



Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) Waves and radiation in optics and electromagnetic theory (78A40) Differential algebra (12H05) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)


Related Items (4)

Generalized Lennard-Jones potentials, SUSYQM and differential Galois theory ⋮ Semiclassical quantification of some two degree of freedom potentials: A differential Galois approach ⋮ A differential Galois approach to path integrals ⋮ Blow-up results and soliton solutions for a generalized variable coefficient nonlinear Schrödinger equation




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