Certain Aspects of Quantum and Classical Integrable Systems

Simple item page
dc.contributor.advisorTarasov, Vitaly
dc.contributor.authorKosmakov, Maksim
dc.contributor.otherIts, Alexander
dc.contributor.otherMukhin, Evgeny
dc.contributor.otherRamras, Daniel
dc.date.accessioned2023-08-31T09:45:36Z
dc.date.available2023-08-31T09:45:36Z
dc.date.issued2022-08
dc.degree.date2023
dc.degree.disciplineMathematical Sciencesen
dc.degree.grantorPurdue Universityen
dc.degree.levelPh.D.
dc.descriptionIndiana University-Purdue University Indianapolis (IUPUI)en
dc.description.abstractWe derive new combinatorail formulas for vector-valued weight functions for the evolution modules over the Yangians Y (gl_n). 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.
dc.identifier.urihttps://hdl.handle.net/1805/35264
dc.language.isoen_US
dc.subjectIntegrable models
dc.subjectRiemann-Hilbert problem
dc.subjectNested Algebraic Bethe ansatz
dc.subjecttt* equation
dc.subjectYangians
dc.titleCertain Aspects of Quantum and Classical Integrable Systems
dc.typeThesisen
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Maksim Kosmakov CERTAIN ASPECTS OF QUANTUM AND CLASSICAL INTEGRABLE SYSTEMS.pdf
Size:
1.86 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.99 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Mathematical Sciences Department Theses and Dissertations