Bethe Ansatz in Quantum Mechanics. 1. The Inverse Method of Separation of Variables

Details Bethe Ansatz in Quantum Mechanics. 1. The Inverse Method of Separation of Variables Bethe Ansatz in Quantum Mechanics. 1. The Inverse Method of Separation of Variables

1997-08-11

arxiv.org/abs/hep-th/9708058v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX

Scientific paper

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.

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