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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
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The Institute of Mathematics at the Department of Physics, Mathematics and Computer Science of the Cracov University of Technology, 31-155 Krakow, Poland
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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
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
MDPI and ACS Style

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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