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Quantum current algebra symmetries and integrable many-particle schrödinger type quantum hamiltonian operators
Authors:
- Dominik Prorok,
- Anatolij Prykarpatski
Abstract
Based on the G. Goldin’s quantum current algebra symmetry representation theory,have succeeded in explaining a hidden relationship between the quantum many-particle Hamiltonianoperators, defined in the Fock space, their factorized structure and integrability. Interesting forapplications quantum oscillatory Hamiltonian operators are considered, the quantum symmetries ofthe integrable quantum Calogero-Sutherland model are analyzed in detail.
- Record ID
- CUT12126036efb04b969b7c4fcfd31204d6
- Publication categories
- ;
- Author
- Journal series
- Symmetry, ISSN , e-ISSN 2073-8994, Monthly
- Issue year
- 2020
- Vol
- 11
- No
- 8
- Pages
- [1-17]
- Article number
- 975
- Other elements of collation
- Bibliografia (na s.) - 16-17; Bibliografia (liczba pozycji) - 28; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 11, Iss. 8
- Keywords in English
- fock space, current algebra representations, hamiltonian reconstruction, quantumintegrability, quantum symmetries
- DOI
- DOI:10.3390/sym11080975 Opening in a new tab
- URL
- https://www.mdpi.com/2073-8994/11/8/975 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
- License
- Score (nominal)
- 70
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT12126036efb04b969b7c4fcfd31204d6/
- URN
urn:pkr-prod:CUT12126036efb04b969b7c4fcfd31204d6
* 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.