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- Quantum_inverse_scattering_method abstract "The quantum inverse scattering method relates two different approaches:1) The Bethe ansatz, a method of solving integrable quantum models in one space and one time dimension;2) the Inverse scattering transform, a method of solving classical integrable differential equations of the evolutionary type.An important concept in the Inverse scattering transform is the Lax representation; the quantum inverse scattering method starts by the quantization of Lax representation and reproduces the results of the Bethe ansatz.In fact it allows the Bethe ansatz to be written in a new form: the algebraic Bethe ansatz. This led to further progress in the understanding of quantum Integrable systems for example: a) the Heisenberg model (quantum),b) the quantum Nonlinear Schrödinger equation (also known as the Lieb-Liniger Model or the Tonks–Girardeau gas) and c) the Hubbard model. The theory of correlation functions was developed: determinant representations, descriptions by differential equations and the Riemann-Hilbert problem. Asymptotics of correlation functions (even for space, time and temperature dependence) were evaluated in 1991. Explicit expressions for the higher conservation laws of the integrable models were obtained in 1989. In mathematics the quantum inverse scattering method led to the formulation of quantum groups. Especially interesting is the Yangian and the center of the Yangian is given by the quantum determinant. Essential progress was achieved in study of ice-type models: the bulk free energy of the six vertex model depends on boundary conditions even in the thermodynamic limit.In mathematics, the quantum inverse scattering method is a method for solving integrable models in 1+1 dimensions introduced by L. D. Faddeev in about 1979.".
- Quantum_inverse_scattering_method wikiPageID "25672752".
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- Quantum_inverse_scattering_method wikiPageOutDegree "22".
- Quantum_inverse_scattering_method wikiPageRevisionID "609916714".
- Quantum_inverse_scattering_method wikiPageWikiLink Bethe_ansatz.
- Quantum_inverse_scattering_method wikiPageWikiLink Cambridge_University_Press.
- Quantum_inverse_scattering_method wikiPageWikiLink Category:Exactly_solvable_models.
- Quantum_inverse_scattering_method wikiPageWikiLink Category:Quantum_mechanics.
- Quantum_inverse_scattering_method wikiPageWikiLink Conservation_law.
- Quantum_inverse_scattering_method wikiPageWikiLink Conservation_laws.
- Quantum_inverse_scattering_method wikiPageWikiLink Heisenberg_model_(quantum).
- Quantum_inverse_scattering_method wikiPageWikiLink Hubbard_model.
- Quantum_inverse_scattering_method wikiPageWikiLink Ice-type_model.
- Quantum_inverse_scattering_method wikiPageWikiLink Integrable_model.
- Quantum_inverse_scattering_method wikiPageWikiLink Integrable_system.
- Quantum_inverse_scattering_method wikiPageWikiLink Integrable_systems.
- Quantum_inverse_scattering_method wikiPageWikiLink Inverse_scattering_transform.
- Quantum_inverse_scattering_method wikiPageWikiLink L._D._Faddeev.
- Quantum_inverse_scattering_method wikiPageWikiLink Lax_pair.
- Quantum_inverse_scattering_method wikiPageWikiLink Lax_representation.
- Quantum_inverse_scattering_method wikiPageWikiLink Lieb-Liniger_Model.
- Quantum_inverse_scattering_method wikiPageWikiLink Lieb–Liniger_model.
- Quantum_inverse_scattering_method wikiPageWikiLink Ludvig_Faddeev.
- Quantum_inverse_scattering_method wikiPageWikiLink Nonlinear_Schrödinger_equation.
- Quantum_inverse_scattering_method wikiPageWikiLink Quantum_determinant.
- Quantum_inverse_scattering_method wikiPageWikiLink Quantum_group.
- Quantum_inverse_scattering_method wikiPageWikiLink Quantum_groups.
- Quantum_inverse_scattering_method wikiPageWikiLink Riemann-Hilbert_problem.
- Quantum_inverse_scattering_method wikiPageWikiLink Riemann–Hilbert_problem.
- Quantum_inverse_scattering_method wikiPageWikiLink Thermodynamic_limit.
- Quantum_inverse_scattering_method wikiPageWikiLink Tonks–Girardeau_gas.
- Quantum_inverse_scattering_method wikiPageWikiLink Yangian.
- Quantum_inverse_scattering_method wikiPageWikiLinkText "Quantum inverse scattering method".
- Quantum_inverse_scattering_method wikiPageWikiLinkText "quantum inverse scattering method".
- Quantum_inverse_scattering_method hasPhotoCollection Quantum_inverse_scattering_method.
- Quantum_inverse_scattering_method wikiPageUsesTemplate Template:Citation.
- Quantum_inverse_scattering_method subject Category:Exactly_solvable_models.
- Quantum_inverse_scattering_method subject Category:Quantum_mechanics.
- Quantum_inverse_scattering_method hypernym Representation.
- Quantum_inverse_scattering_method type Model.
- Quantum_inverse_scattering_method type Model.
- Quantum_inverse_scattering_method type Physic.
- Quantum_inverse_scattering_method comment "The quantum inverse scattering method relates two different approaches:1) The Bethe ansatz, a method of solving integrable quantum models in one space and one time dimension;2) the Inverse scattering transform, a method of solving classical integrable differential equations of the evolutionary type.An important concept in the Inverse scattering transform is the Lax representation; the quantum inverse scattering method starts by the quantization of Lax representation and reproduces the results of the Bethe ansatz.In fact it allows the Bethe ansatz to be written in a new form: the algebraic Bethe ansatz. ".
- Quantum_inverse_scattering_method label "Quantum inverse scattering method".
- Quantum_inverse_scattering_method sameAs m.05zjqcg.
- Quantum_inverse_scattering_method sameAs Q17105415.
- Quantum_inverse_scattering_method sameAs Q17105415.
- Quantum_inverse_scattering_method wasDerivedFrom Quantum_inverse_scattering_method?oldid=609916714.
- Quantum_inverse_scattering_method isPrimaryTopicOf Quantum_inverse_scattering_method.