WFRF:(Görbe Tamás)
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- Görbe, TamasUniversity of Szeged,University of Szeged / Szegedi Tudományegyetem (author)
Quantization and explicit diagonalization of new compactified trigonometric Ruijsenaars–Schneider systems
- Article/chapterEnglish2018
Publisher, publication year, extent ...
- 2018-07-30
- Oxford University Press (OUP),2018
Numbers
- LIBRIS-ID:oai:gup.ub.gu.se/269827
- https://gup.ub.gu.se/publication/269827URI
- https://doi.org/10.1093/integr/xyy015DOI
- https://research.chalmers.se/publication/504382URI
Supplementary language notes
- Language:English
Part of subdatabase
- SwePubSwePub
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Notes
- Recently, Fehér and Kluck discovered, at the level of classical mechanics, new compactified trigonometric Ruijsenaars–Schneider n -particle systems, with phase space symplectomorphic to the (n−1) -dimensional complex projective space. In this article, we quantize the so-called type (i) instances of these systems and explicitly solve the joint eigenvalue problem for the corresponding quantum Hamiltonians by generalising previous results of van Diejen and Vinet. Specifically, the quantum Hamiltonians are realized as discrete difference operators acting in a finite-dimensional Hilbert space of complex-valued functions supported on a uniform lattice over the classical configuration space, and their joint eigenfunctions are constructed in terms of discretized An−1 Macdonald polynomials with unitary parameters.
Subject headings and genre
- NATURVETENSKAP Matematik Annan matematik hsv//swe
- NATURAL SCIENCES Mathematics Other Mathematics hsv//eng
- NATURVETENSKAP Matematik Matematisk analys hsv//swe
- NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
- quantization
- Macdonald polynomials
- Ruijsenaars–Schneider
- Calogero–Moser–Sutherland
- Calogero–Moser–Sutherland
Added entries (persons, corporate bodies, meetings, titles ...)
- Hallnäs, Martin,1979Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg(Swepub:cth)hallnas (author)
- University of SzegedInstitutionen för matematiska vetenskaper (creator_code:org_t)
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- In:Journal of Integrable Systems: Oxford University Press (OUP)3:12058-5985
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