Back
Many-particle Schrödinger type finitely factorized quantum hamiltonian systems and their integrability
Authors:
- Dominik Prorok,
- Anatolij Prykarpatski
Abstract
We develop G. A. Goldin and D. H. Sharp’s quantum current algebra approach to many-particle Hamiltonian operators. We demonstrate its deep relationship to the Hamiltonian operators’ factorized structure. We investigate this for completely integrable spinless systems, showing the connection with the classical Bethe ansatz ground state representation. The quantum Hamilton operators are considered for integrable delta-potential and oscillatory Caloger-Moser-Sutherland models.
- Record ID
- CUT2a6f815a46bd42a5967a8a941e869b0e
- Publication categories
- ; ;
- Author
- Pages
- 251-270
- Other elements of collation
- Bibliografia (na s.) - 269-270; Bibliografia (liczba pozycji) - 35; Oznaczenie streszczenia - Abstr.
- Book
- Kielanowski Piotr, Piotr Kielanowski Odzijewicz Anatol, Anatol Odzijewicz Previato Emma Emma Previato (eds.): Geometric Methods in Physics XXXVIII : Workshop, Białowieża, Poland, 2019, Trends in Mathematics, 2020, Cham, Birkhäuser Verlag, Birkhäuser, ISBN 978-3-030-53305-2 (eBook)
- Keywords in English
- Fock space, current algebra symmetry representations, quantum delta-potential Schrödinger type operator, oscillatory Calogero-Moser-Sutherland model, quantum integrability, quantum symmetries
- DOI
- DOI:10.1007/978-3-030-53305-2_16 Opening in a new tab
- URL
- https://link.springer.com/chapter/10.1007%2F978-3-030-53305-2_16 Opening in a new tab
- Related project
- Teoria równań i nierówności różniczkowych, układy dynamiczne na rozmaitościach, wybrane działy: analizy matematycznej topologii algebry i geometrii oraz probabilistyki teorii grafów i liczb. . Project leader at PK: , ,
Działalność statutowa - Language
- eng (en) English
- Score (nominal)
- 20
- Additional fields
- Indeksowana w: Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT2a6f815a46bd42a5967a8a941e869b0e/
- URN
urn:pkr-prod:CUT2a6f815a46bd42a5967a8a941e869b0e
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.