Certain Aspects of Quantum and Classical Integrable Systems
Abstract
Kosmakov Maksim. Ph.D., Purdue University, May 2023. Certain aspects of quantum and classical integrable systems. Major Professor: Vitaly Tarasov.We derive new combinatorail formulas for vector-valued weight functions for the evolution modules over the Yangians Y (gln). We obtain them using the Nested Algebraic Bethe ansatz method.We also describe the asymptotic behavior of the radial solutions of the negative tt∗ equation via the Riemann-Hilbert problem and the Deift-Zhou nonlinear steepest descent method.
Degree
Ph.D.
Advisors
Tarasov, Purdue University.
Subject Area
Quantum physics|Mathematics|Physics
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