In physics, the Lieb–Liniger model describes a gas of particles moving in one dimension and satisfying Bose–Einstein statistics. More specifically, it describes a one dimensional Bose gas with Dirac delta interactions. t is named after Elliott H. Lieb and Werner Liniger who introduced the model in 1963. The model was developed to compare and test Nikolay Bogolyubov 's theory of a weakly interaction Bose gas.