Quantum repulsive nonlinear Schrödinger models and their ``superconductivity.

DOI10.1016/0960-0779(94)E0119-AzbMath1080.82585MaRDI QIDQ815205

R. K. Bullough, Jussi Timonen, Gen Di Pang, N. M. Bogolyubov

Publication date: 16 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Continuum limits in quantum field theory (81T27) Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55)

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Correlation functions for a strongly correlated boson system, Correlators of the phase model.

Cites Work

• Quantum R matrix for the generalized Toda system
• Classical limits of the SU(2)-invariant solutions of the Yang-Baxter equation
• Quantum field theory techniques in graphical enumeration
• Quantum difference nonlinear Schrödinger equation
• There's more than one way to skin Schrödinger's cat
• Crystalizing the q-analogue of universal enveloping algebras
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• Expansions over the ‘‘squared’’ solutions and difference evolution equations
• Bound Electron Pairs in a Degenerate Fermi Gas
• On a new method in the theory of superconductivity
• Theory of the Contribution of Excitons to the Complex Dielectric Constant of Crystals
• The quantum group SU_q(2) and a q-analogue of the boson operators
• On the q oscillator and the quantum algebra su_q(1,1)
• Quantum and classical statistical mechanics of the sinh-Gordon equation
• A q-deformed completely integrable Bose gas model
• Nonlinear differential–difference equations and Fourier analysis
• Critical Behavior for Correlated Strongly Coupled Boson Systems in 1 + 1 Dimensions
• Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
• On the theory of superconductivity: the one-dimensional case
• Theory of Superconductivity
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