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I was wondering about Bethe Ansatz . From what I've read, BA applies to 1D systems of N fermionic particles.

Let's say I have solved 1D problem for one particle. Now, I want to setup some boundary conditions (e.g. infinite deep well) and insert, say 3 fermionic particles and extract exact wavefunction and energy of the ground state. Is this situation where Bethe Ansatz can help me out? If this is so, I would very much appriciate any help on the subject - if you can indicate how to apply BA to my problem or have any litterature that does NOT treat Heisenberg's model.

Thanks in advance!

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# Application of Bethe Ansatz

Can you offer guidance or do you also need help?

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