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Delve into the fourth lecture of a comprehensive series on quantum integrability, presented by Jules Lamers at IPhT. Explore advanced concepts and techniques in this two-hour session, building upon the foundations laid in previous lectures. Gain insights into the intricate world of quantum systems and their integrable properties. Enhance your understanding of theoretical physics and mathematical methods applied to quantum mechanics. Suitable for graduate students and researchers in physics and mathematics, this lecture offers a deep dive into the fascinating field of quantum integrability.