In physics, the Lieb–Liniger model describes a gas of particles moving in one dimension and satisfying Bose–Einstein statistics. More specifically, it...
5 KB (1,004 words) - 16:13, 13 February 2025
the six-vertex model of ice in two dimensions, the one-dimensional delta Bose gas (now called the Lieb-Liniger model) and the Hubbard model. Together with...
30 KB (3,206 words) - 10:10, 15 March 2025
Nonlinear Schrödinger equation (category Exactly solvable models)
particles is finite, this quantum field theory is equivalent to the Lieb–Liniger model. Both the quantum and the classical 1D nonlinear Schrödinger equations...
24 KB (3,272 words) - 20:38, 6 April 2025
Bethe ansatz (category Exactly solvable models)
H. Lieb and Werner Liniger [de] provide the exact solution of the 1d δ-function interacting Bose gas (now known as the Lieb-Liniger model). Lieb studies...
17 KB (2,314 words) - 05:47, 26 April 2025
Integrable system (redirect from Exactly solvable model)
Examples of quantum integrable models are the Lieb–Liniger model, the Hubbard model and several variations on the Heisenberg model. Some other types of quantum...
28 KB (3,407 words) - 13:15, 11 February 2025
formulation. The Tonks–Girardeau gas is a particular case of the Lieb–Liniger model. A row of bosons all confined to a one-dimensional line cannot pass...
9 KB (1,151 words) - 12:06, 13 April 2025
Bose–Einstein condensation in fewer than three dimensions, for example the Lieb–Liniger model (an the limit of strong interactions, the Tonks–Girardeau gas) in...
87 KB (10,726 words) - 20:13, 1 May 2025
use either an exact approach, namely the Lieb-Liniger model, or an extended equation, e.g. the Lieb-Liniger Gross–Pitaevskii equation (sometimes called...
30 KB (4,516 words) - 22:44, 24 March 2025
Quantum inverse scattering method (category Exactly solvable models)
Heisenberg model, the quantum nonlinear Schrödinger equation (also known as the Lieb–Liniger model or the Tonks–Girardeau gas) and the Hubbard model.[citation...
6 KB (700 words) - 19:40, 9 November 2024
Tanaka, Atushi; Cheon, Taksu (2013-06-21). "Quantum holonomy in the Lieb-Liniger model". Physical Review A. 87 (6). American Physical Society (APS): 062113...
5 KB (571 words) - 17:02, 29 March 2025
Szilárd Li Aizhen Lianxing Wen Lichtenberg figure Lie superalgebra Lieb–Liniger model Liesegang rings Lift-induced drag Lift-to-drag ratio Lift (force)...
18 KB (2,064 words) - 23:14, 7 October 2024