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Basic Lectures on Bethe Ansatz - Pedagogical Lecture 2

Offered By: International Centre for Theoretical Sciences via YouTube

Tags

Integrable Systems Courses Fourier Analysis Courses Hilbert Spaces Courses Condensed Matter Physics Courses Statistical Physics Courses Bethe Ansatz Courses

Course Description

Overview

Explore a comprehensive lecture on the Bethe Ansatz, a powerful technique in integrable systems, delivered by Fabio Franchini at the International Centre for Theoretical Sciences. Delve into key concepts like spin excitations in integrable vs non-integrable models, prethermalization, beta equations, and particle factorization. Examine the algebraic approach, including the 6-vertex model, and engage with a Q&A session. Gain insights into advanced topics in condensed matter and statistical physics through this 1 hour 26 minute pedagogical presentation, part of a broader program on integrable systems in mathematics and physics.

Syllabus

Condensed Matter and Statistical Physics
Basic Lectures on Bethe Ansatz Pedagogical Lecture 02
What is the difference between a spin onexcitation in an integrable model andone in a non integrable model
Prethierhalization
Equation: Non integrable model
Beta Equations
Derivatives
Convolution: Fourier space
Momentum: Particle factoriration
Hilbert space
What you expect the energy-momentum to be at the end of our calculation?
Motivation - Algebraic approach
6 vertex model/Ice model
Assumption
Q&A


Taught by

International Centre for Theoretical Sciences

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