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Quantum Current Algebra Symmetries and Integrable Many-Particle Schrödinger Type Quantum Hamiltonian Operators

1
Department of Physics and Computer Science at AGH University of Science at Technology, 31-155 Krakow, Poland
2
The Institute of Mathematics at the Department of Physics, Mathematics and Computer Science of the Cracov University of Technology, 31-155 Krakow, Poland
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(8), 975; https://doi.org/10.3390/sym11080975
Received: 23 June 2019 / Revised: 16 July 2019 / Accepted: 24 July 2019 / Published: 1 August 2019
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PDF [328 KB, uploaded 17 August 2019]

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 Hamiltonian operators, defined in the Fock space, their factorized structure and integrability. Interesting for applications quantum oscillatory Hamiltonian operators are considered, the quantum symmetries of the integrable quantum Calogero-Sutherland model are analyzed in detail. View Full-Text
Keywords: fock space; current algebra representations; hamiltonian reconstruction; quantum integrability; quantum symmetries fock space; current algebra representations; hamiltonian reconstruction; quantum integrability; quantum symmetries
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Prorok, D.; Prykarpatski, A. Quantum Current Algebra Symmetries and Integrable Many-Particle Schrödinger Type Quantum Hamiltonian Operators. Symmetry 2019, 11, 975.

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