Spectral theory for the q-Boson particle system

We develop spectral theory for the generator of the q-Boson (stochastic) particle system. Our central result is a Plancherel type isomorphism theorem for this system. This theorem has various implications. It proves the completeness of the Bethe ansatz for the q-Boson generator and consequently enab...

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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:en_US
Published: Cambridge University Press 2016
Online Access:http://hdl.handle.net/1721.1/104846
https://orcid.org/0000-0002-2913-5238