20 citations · 124 across the 24 of their papers we have counts for
6 papers · 1 filter
Wolfes model aka -rational integrable model: hidden algebras and quartic polynomial algebra of integrals
J C Lopez Vieyra, A V Turbiner
One-dimensional 3-body Wolfes model with 2- and 3-body interactions also known as -rational integrable model of the Hamiltonian reduction is exactly-solvable and superinte…
Polynomial Integrable System: Different Faces of the 3-Body/ Elliptic Calogero Model
Alexander V. Turbiner, Juan Carlos Lopez Vieyra, Miguel Ayala
It is shown that the polynomial integrable system, introduced by Sokolov-Turbiner in [arXiv:1409.7439], is equivalent to the quantum Euler-Arn…
Quantum Integrable, rational and trigonometric models: space-of-orbits view
A. V. Turbiner, J. C. López Vieyra
Algebraic-rational nature of the four-dimensional, -invariant integrable quantum Hamiltonians, both rational and trigonometric, is revealed and reviewed. It was shown that bei…
Sutherland-type Trigonometric Models, Trigonometric Invariants and Multivariate Polynomials. III. case
K. G. Boreskov, A. V. Turbiner, J. C. López Vieyra +1
It is shown that the trigonometric Olshanetsky-Perelomov Hamiltonian, when written in terms of the Fundamental Trigonometric Invariants (FTI), is in algebraic form, i.e., has…
Sutherland-type Trigonometric Models, Trigonometric Invariants and Multivariable Polynomials. II. case
J. C. López Vieyra, M. A. G. García, A. V. Turbiner
It is shown that the trigonometric Olshanetsky-Perelomov Hamiltonian, when written in terms of the Fundamental Trigonometric Invariants (FTI), is in algebraic form, i.e., has…
Sutherland-type Trigonometric Models, Trigonometric Invariants and Multivariate Polynomials
K. G. Boreskov, A. V. Turbiner, J. C. Lopez Vieyra
It is conjectured that any trigonometric Olshanetsky-Perelomov Hamiltonian written in Fundamental Trigonometric Invariants (FTI) as coordinates takes an algebraic form and preserve…