Quantum nonlinear Schrödinger equation. I. Intertwining operators
- 1 August 1986
- journal article
- Published by European Mathematical Society - EMS - Publishing House GmbH in Annales de l'Institut Henri Poincaré C, Analyse non linéaire
- Vol. 3 (4) , 285-314
- https://doi.org/10.1016/s0294-1449(16)30381-x
Abstract
We consider the quantum nonlinear Schrödinger equation (NLS) as a model of the quantum (nonrelativistic) field theory in 1 + 1 dimensions. In this paper we develop a calculus of intertwining operators for the NLS. This calculus will be used in subsequent publications to solve explicitly an initial value problem for the NLS. Résumé: On s’occupe ici de l’équation de Schrödinger non linéaire quanitio (NLS) comme un modèle de la théorie quantique (non relativiste) des champs en 1 + 1 dimensions. Dans ce travail nous présentons un calcul des opérateurs entrelaçants pour le NLS. Ce calcul sera utilisé dans les publications suivantes à donner la solution explicite d’un problème de valeur initiale pour le NLS.This publication has 5 references indexed in Scilit:
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