Quantum nonlinear Schrödinger equation. I: Intertwining operators

DOI10.1016/S0294-1449(16)30381-XzbMath0614.35086OpenAlexW2592587979MaRDI QIDQ1820332

Eugene Gutkin

Publication date: 1986

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1986__3_4_285_0

zbMATH Keywords

HamiltonianBethe ansatzintertwining operatorssecond quantizationcommutation relationsFock spacefield theoryquantum nonlinear Schrödinger equationdelta Bose gas

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Constructive quantum field theory (81T08) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (5)

Quantum nonlinear Schrödinger equation and its classical counterpart ⋮ Propagation of chaos and the Hopf-Cole transformation ⋮ Intertwining operators and the quantum inverse method for the nonlinear Schrödinger equation ⋮ Exact methods in the analysis of the non-equilibrium dynamics of integrable models: application to the study of correlation functions for non-equilibrium 1D Bose gas ⋮ Quantum nonlinear Schrödinger equation. II. Explicit solution

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• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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