Local Hamiltonians for Integrable Quantum Models on a Lattice

V. O. Tarasov; L. A. Takhtadzhyan; L. D. Faddeev

doi:10.1142/9789814340960_0029

Local Hamiltonians for Integrable Quantum Models on a Lattice

V. O. Tarasov
, L. A. Takhtadzhyan
, L. D. Faddeev

Mathematics

Steklov Mathematical Institute

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

A general method is proposed for constructing local Hamiltonians for integrable lattice models. These Hamiltonians are diagonalized for the case of a two-dimensional auxiliary space. The Heisenberg XXX model and the lattice model of the nonlinear Schrödinger equation are considered in detail.

Original language	English
Title of host publication	Fifty Years of Mathematical Physics
Subtitle of host publication	Selected Works of Ludwig Faddeev
Publisher	World Scientific Publishing Co.
Pages	339-353
Number of pages	15
ISBN (Electronic)	9789814340960
ISBN (Print)	9789814340953
DOIs	https://doi.org/10.1142/9789814340960_0029
State	Published - Jan 1 2016

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abstract = "A general method is proposed for constructing local Hamiltonians for integrable lattice models. These Hamiltonians are diagonalized for the case of a two-dimensional auxiliary space. The Heisenberg XXX model and the lattice model of the nonlinear Schr{\"o}dinger equation are considered in detail.",

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BT - Fifty Years of Mathematical Physics

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Local Hamiltonians for Integrable Quantum Models on a Lattice

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