Integrability aspects of the current algebra representation and the factorized quantum nonlinear schrödinger type dynamical systems
Authors:
- N. N. Bogolubov Jr.,
- D. Prorok,
- A. K. Prykarpatski
Abstract
In this work we study integrability aspects of the current algebra representation and the factorizedquantum nonlinear Schrödinger type dynamical systems, initiated before by G. Goldin with collaborators, insuitably renormalized Fock type Hilbert spaces. There is developed the current algebra representation schemeof reconstructing algebraically factorized quantum Hamiltonian and symmetry operators in the Fock typespace. There is presented its application to constructing quantum factorized Hamiltonian systems and theirsymmetry operators in case of quantum integrable spatially many- and one-dimensional dynamical systems. As examples we have studied in detail the factorized structure of Hamiltonian operators, describing suchquantum integrable spatially one-dimensional models as the Calogero–Moser–Sutherland and NonlinearSchrödinger dynamical systems of spin-less Bose-particles.
- Record ID
- CUTb95da8addbe84ad78fd5b9ff4f6d7e7c
- Publication categories
- ;
- Author
- Journal series
- Physics of Particles and Nuclei, ISSN 1063-7796, e-ISSN 1531-8559
- Issue year
- 2020
- Vol
- 51
- No
- 4
- Pages
- 434-442
- Other elements of collation
- Bibliografia (na s.) - 441-442; Bibliografia (liczba pozycji) - 30; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 51, No. 4
- Keywords in English
- Fock space, current algebra representations, Hamiltonian reconstruction, quantum integrability,factorization, nonlinear Schrödinger type dynamical systems
- DOI
- DOI:10.1134/S1063779620040152 Opening in a new tab
- URL
- https://link.springer.com/article/10.1134/S1063779620040152 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)
- 40
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTb95da8addbe84ad78fd5b9ff4f6d7e7c/
- URN
urn:pkr-prod:CUTb95da8addbe84ad78fd5b9ff4f6d7e7c
* 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.