1997/08/11 by Dieter Mayer, Mayer, Dieter, A.G. Ushveridze +2
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Waves and Solitons #Numerical methods for differential equations #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9708058
17 pages, LaTeX
arxiv created 1997/08/11 · arxiv updated 2009/11/30
In this paper we formulate a general method for building completely integrable quantum systems. The method is based on the use of the so-called multi-parameter spectral equations, i.e. equations with several spectral parameters. We show that any such equation, after eliminating some spectral parameters by means of the so-called inverse procedure of separation of variables can be reduced to a certain completely integrable model. Starting with exactly or quasi-exactly solvable multi-parameter spectral equations we, respectively, obtain exactly or quasi-exactly solvable integrable models.