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Course: Introduction to classical and quantum integrability (Ana L. Retore) 3/3
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Introduction to classical and quantum integrability
Ana L. Retore (Trinity Coll., Dublin)
In this course we will discuss aspects of both classical and quantum integrability. We will start on the classical side by defining Liouville integrability and proceed until the Lax connection and classical Yang-Baxter equation are explained. The harmonic-oscillator and the Sine-Gordon model will be the examples in this part. For quantum integrability, the aim is to construct the closed XXZ spin chain, starting with the quantum R-matrix, and solve it using algebraic Bethe ansatz. Finally the interpretation of the R-matrix as an S-matrix in a scattering process will be discussed.
Ana L. Retore (Trinity Coll., Dublin)
In this course we will discuss aspects of both classical and quantum integrability. We will start on the classical side by defining Liouville integrability and proceed until the Lax connection and classical Yang-Baxter equation are explained. The harmonic-oscillator and the Sine-Gordon model will be the examples in this part. For quantum integrability, the aim is to construct the closed XXZ spin chain, starting with the quantum R-matrix, and solve it using algebraic Bethe ansatz. Finally the interpretation of the R-matrix as an S-matrix in a scattering process will be discussed.
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