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quant-ph2019★ 1 cited
The current algebra representations of quantum many-particle Schrödinger type Hamiltonian models, their factorized structure and integrability
D. Prorok, A. K. Prykarpatski
There is developed a current algebra representation scheme for reconstructing algebraically factorized quantum Hamiltonian and symmetry operators in the Fock type space and its app…
math-ph2019★ 6 cited
Dispersionless Multi-Dimensional Integrable Systems and Related Conformal Structure Generating Equations of Mathematical Physics
Oksana Ye. Hentosh, Yarema A. Prykarpatsky, Denis Blackmore +1
Using diffeomorphism group vector fields on -multiplied tori and the related Lie-algebraic structures, we study multi-dimensional dispersionless integrable systems that…