The Bethe Ansatz
The Lieb-Liniger gasc.l
The one-dimensional \(delta\)-interacting Bose gas, also known as the Lieb-Liniger model, is perhaps the least complicated quantum mechanical model of interacting particles allowing for a complete, formally exact solution of the Schrödinger problem using the Bethe Ansatz. Here, this exact solution is described.
In this section:
- Interacting particles in one dimensionc.l.i
- The Lieb-Liniger modelc.l.l
- Bogoliubov theoryc.l.b
- Solving the Schrödinger equationc.l.s
- Quantization and the Bethe equationsc.l.q
- Properties of solutions to the Bethe equationsc.l.p
- Norms of Bethe eigenstates: Gaudin's conjecturec.l.n
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Created: 2024-01-18 Thu 14:24