Quantizing the Discrete Painlevé VI Equation: The Lax Formalism

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

A discretization of Painlevé VI equation was obtained by Jimbo and Sakai (Lett Math Phys 38:145-154, 1996). There are two ways to quantize it: (1) use the affine Weyl group symmetry (of D(1)5 (Hasegawa in Adv Stud Pure Math 61:275-288, 2011), (2) Lax formalism, i.e. monodromy preserving point of view. It turns out that the second approach is also successful and gives the same quantization as in the first approach.

Original languageEnglish
Pages (from-to)865-879
Number of pages15
JournalLetters in Mathematical Physics
Volume103
Issue number8
DOIs
Publication statusPublished - 2013 Aug 1

Keywords

  • Weyl groups
  • discrete Painlevé equations
  • quantum integrable systems

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fingerprint Dive into the research topics of 'Quantizing the Discrete Painlevé VI Equation: The Lax Formalism'. Together they form a unique fingerprint.

Cite this