Microscopic conservation laws for integrable lattice models
Harrop-Griffiths B, Killip R, Vişan M. 2021. Microscopic conservation laws for integrable lattice models. Monatshefte für Mathematik. 196(3), 477–504.
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Author
Harrop-Griffiths, Benjamin;
Killip, Rowan;
Vişan, MonicaISTA
Abstract
We consider two discrete completely integrable evolutions: the Toda Lattice and the Ablowitz–Ladik system. The principal thrust of the paper is the development of microscopic conservation laws that witness the conservation of the perturbation determinant under these dynamics. In this way, we obtain discrete analogues of objects that we found essential in our recent analyses of KdV, NLS, and mKdV. In concert with this, we revisit the classical topic of microscopic conservation laws attendant to the (renormalized) trace of the Green’s function.
Publishing Year
Date Published
2021-11-01
Journal Title
Monatshefte für Mathematik
Publisher
Springer Nature
Volume
196
Issue
3
Page
477-504
ISSN
eISSN
IST-REx-ID
Cite this
Harrop-Griffiths B, Killip R, Vişan M. Microscopic conservation laws for integrable lattice models. Monatshefte für Mathematik. 2021;196(3):477-504. doi:10.1007/s00605-021-01529-5
Harrop-Griffiths, B., Killip, R., & Vişan, M. (2021). Microscopic conservation laws for integrable lattice models. Monatshefte Für Mathematik. Springer Nature. https://doi.org/10.1007/s00605-021-01529-5
Harrop-Griffiths, Benjamin, Rowan Killip, and Monica Vişan. “Microscopic Conservation Laws for Integrable Lattice Models.” Monatshefte Für Mathematik. Springer Nature, 2021. https://doi.org/10.1007/s00605-021-01529-5.
B. Harrop-Griffiths, R. Killip, and M. Vişan, “Microscopic conservation laws for integrable lattice models,” Monatshefte für Mathematik, vol. 196, no. 3. Springer Nature, pp. 477–504, 2021.
Harrop-Griffiths B, Killip R, Vişan M. 2021. Microscopic conservation laws for integrable lattice models. Monatshefte für Mathematik. 196(3), 477–504.
Harrop-Griffiths, Benjamin, et al. “Microscopic Conservation Laws for Integrable Lattice Models.” Monatshefte Für Mathematik, vol. 196, no. 3, Springer Nature, 2021, pp. 477–504, doi:10.1007/s00605-021-01529-5.
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