Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials

Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials

We present a semi-infinite q-boson system endowed with a four-parameter boundary interaction. The n-particle Hamiltonian is diagonalized by generalized Hall-Littlewood polynomials with hyperoctahedral symmetry that arise as a degeneration of the Macdonald-Koornwinder polynomials and were recently st...

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Bibliographic Details
Main Authors: Jan Felipe van Diejen, Erdal Emsiz
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2013-12-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Hall-Littlewood functions
q-bosons
boundary fields
hyperoctahedral symmetry
Online Access:http://dx.doi.org/10.3842/SIGMA.2013.077
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spelling doaj-850d248d0cd84f4995e868ae5cbb67eb2020-11-24T21:04:05ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592013-12-01907710.3842/SIGMA.2013.077Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood PolynomialsJan Felipe van DiejenErdal EmsizWe present a semi-infinite q-boson system endowed with a four-parameter boundary interaction. The n-particle Hamiltonian is diagonalized by generalized Hall-Littlewood polynomials with hyperoctahedral symmetry that arise as a degeneration of the Macdonald-Koornwinder polynomials and were recently studied in detail by Venkateswaran.http://dx.doi.org/10.3842/SIGMA.2013.077Hall-Littlewood functionsq-bosonsboundary fieldshyperoctahedral symmetry
collection DOAJ
language English
format Article
sources DOAJ
author Jan Felipe van Diejen
Erdal Emsiz
spellingShingle Jan Felipe van Diejen
Erdal Emsiz
Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials
Symmetry, Integrability and Geometry: Methods and Applications
Hall-Littlewood functions
q-bosons
boundary fields
hyperoctahedral symmetry
author_facet Jan Felipe van Diejen
Erdal Emsiz
author_sort Jan Felipe van Diejen
title Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials
title_short Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials
title_full Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials
title_fullStr Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials
title_full_unstemmed Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials
title_sort boundary interactions for the semi-infinite q-boson system and hyperoctahedral hall-littlewood polynomials
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2013-12-01
description We present a semi-infinite q-boson system endowed with a four-parameter boundary interaction. The n-particle Hamiltonian is diagonalized by generalized Hall-Littlewood polynomials with hyperoctahedral symmetry that arise as a degeneration of the Macdonald-Koornwinder polynomials and were recently studied in detail by Venkateswaran.
topic Hall-Littlewood functions
q-bosons
boundary fields
hyperoctahedral symmetry
url http://dx.doi.org/10.3842/SIGMA.2013.077
work_keys_str_mv AT janfelipevandiejen boundaryinteractionsforthesemiinfiniteqbosonsystemandhyperoctahedralhalllittlewoodpolynomials
AT erdalemsiz boundaryinteractionsforthesemiinfiniteqbosonsystemandhyperoctahedralhalllittlewoodpolynomials
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