The Bethe Ansatz

Quantization and the Bethe equations c.l.q

Until now, we have considered our system as being defined on the whole real line. The disadvantage of this is that considering a finite particle number \(N\) then only allows to access the zero-density case. As in many standard problems of quantum mechanics, in order to classify states, it is more reasonable to introduce a finite quantization length. We will thus put our system on an interval of length \(L\) and impose for now simple periodic boundary conditions on the wavefunctions.

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Author: Jean-Sébastien Caux

Created: 2023-06-07 Wed 16:02