Quantum nonlinear Schrödinger equation. II. Explicit solution

DOI10.1016/0022-1236(88)90090-0zbMath0692.35089OpenAlexW2021326193MaRDI QIDQ583501

Eugene Gutkin

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90090-0

zbMATH Keywords

nonlinear Schrödinger equationFock spacescreation and annihilation operatorscollision expansions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Quantum field theory; related classical field theories (81T99) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)

Related Items (1)

Quantum nonlinear Schrödinger equation and its classical counterpart

Cites Work

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• Integrable systems with Delta-potential
• Conservation laws for the nonlinear Schrödinger equation
• Corner transfer matrices and Lorentz invariance on a lattice
• Quantum version of the method of inverse scattering problem
• Quantum nonlinear Schrödinger equation. I: Intertwining operators
• Commutation relations for creation–annihilation operators associated with the quantum nonlinear Schrödinger equation
• Completely integrable systems and groups generated by reflections

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