Spectral Theory for Interacting Particle Systems Solvable by Coordinate Bethe Ansatz

We develop spectral theory for the q-Hahn stochastic particle system introduced recently by Povolotsky. That is, we establish a Plancherel type isomorphism result that implies completeness and biorthogonality statements for the Bethe ansatz eigenfunctions of the system. Owing to a Markov duality wit...

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Bibliographic Details
Main Authors: Borodin, Alexei, Corwin, Ivan, Petrov, Leonid, Sasamoto, Tomohiro
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2016
Online Access:http://hdl.handle.net/1721.1/104369
https://orcid.org/0000-0002-2913-5238