Give an example of an integrable quantum mechanical model, and explain (without any calculation) why this is

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Give an example of an integrable quantum mechanical model, and explain (without any calculation) why this is not expected to thermalize. One way to define an integrable quantum mechanical model is by saying that the three-point and higher-point scatterings can be reduced to just two-point scatterings and by satisfying the Yang-Baxter equations, which relate the possible orders in which we have two-point scatterings.

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