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

Dominik Prorok, Anatolij Prykarpatski
2019 Symmetry  
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.
doi:10.3390/sym11080975 fatcat:gcybg6jzazbb3pixocxltalygq