6533b856fe1ef96bd12b243e
RESEARCH PRODUCT
Asymptotic analysis of the form-factors of the quantum spin chains
Giridhar Kulkarnisubject
Quantum inverse scattering methodFacteurs de formeXXX spin chainChaîne de spin XXXAlgebraic Bethe ansatzLimite thermodynamique[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]Ansatz de Bethe algebriqueThermodynamic limitMéthode de la dispersion inverse[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM]Integrable systemsForm-FactorsSystèmes intégrablesdescription
Since a long-time, the quantum integrable systems have remained an area where modern mathematical methods have given an access to interesting results in the study of physical systems. The exact computations, both numerical and asymptotic, of the correlation function is one of the most important subject of the theory of the quantum integrable models. In this context an approach based on the calculation of form factors has been proved to be a more effective one. In this thesis, we develop a new method based on the algebraic Bethe ansatz is proposed for the computation of the form-factors in thermodynamic limit. It is applied to and described in the context of isotropic XXX Heisenberg chain, which is one of the example of an interesting case of critical models where the Fermi-zone is non-compact.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-11-20 |