Page "Tonks–Girardeau gas" Paragraph 5
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can be described by Integrable system.
In a simple case it is Painlevé transcendents.
A textbook explains in detail the description of quantum correlation functions of Tonks – Girardeau gas by means of classical completely integrable differential equations.
Thermodynamics of Tonks – Girardeau gas was described by Chen Ning Yang.
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