Quantum inverse scattering method: Difference between revisions

Revision as of 09:45, 28 March 2010

Revision as of 14:11, 26 April 2010

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Quantum inverse scattering method relates two different approaches:

1)[[Inverse scattering transform ]] is a method of solving classical integrable differential equations of evolutionary type.

Important concept is [[Lax representation ]].

2) [[Bethe ansatz ]] is a method of solving quantum models in one space and one time dimension.

Quantum inverse scattering method starts by quantization of Lax representation and reproduce results of Bethe ansatz.

Actually it permits to rewrite Bethe ansatz in a new form: algebraic Bethe ansatz. This led to further progress in understanding of [[Heisenberg model (quantum) ]],

quantum [[Nonlinear Schrödinger equation ]] and [[Hubbard model]].