Soliton-like solutions to the ordinary Schrödinger equation within standard quantum mechanics

DOI10.1063/1.4705693zbMath1275.81037arXiv1008.3087OpenAlexW3122122576MaRDI QIDQ2862906

Erasmo Recami, Michel Zamboni-Rached

Publication date: 20 November 2013

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

Full work available at URL: https://arxiv.org/abs/1008.3087

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Coherent states (81R30) (2)-body potential quantum scattering theory (81U05) Traveling wave solutions (35C07) Soliton solutions (35C08)

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Cites Work

• Ettore Majorana: Notes on theoretical physics
• Designing localized waves
• Lie theory and separation of variables. 5. The equations iUt + Uxx = 0 and iUt + Uxx −c/x2 U = 0

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