J. C. López Vieyra

collaborators

3 papers

math-ph2023

Wolfes model aka $G_{2} / I_{6}$ -rational integrable model: $g^{(2)}, g^{(3)}$ 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 $G_{2} / I_{6}$ -rational integrable model of the Hamiltonian reduction is exactly-solvable and superinte…

physics.atom-ph2023

Ultra-Compact accurate wave functions for He-like iso-electronic sequences and variational calculus. IV. Spin-singlet states $(1 s n s)$ $n^{1} S$ family of the Helium sequence

J. C. Lopez Vieyra, A. V. Turbiner

As a continuation of Parts I \cite{Part-1:2020}, II \cite{Part-2:2021}, III \cite{Part-3:2022}, where ultra-compact wave functions were constructed for a few low-lying states of He…

math-ph2023

$gl (3)$ Polynomial Integrable System: Different Faces of the 3-Body/ $A_{2}$ Elliptic Calogero Model

Alexander V. Turbiner, Juan Carlos Lopez Vieyra, Miguel Ayala

It is shown that the $gl (3)$ polynomial integrable system, introduced by Sokolov-Turbiner in [arXiv:1409.7439], is equivalent to the $gl (3)$ quantum Euler-Arn…

Wolfes model aka G2​/I6​-rational integrable model: g(2),g(3) hidden algebras and quartic polynomial algebra of integrals

Ultra-Compact accurate wave functions for He-like iso-electronic sequences and variational calculus. IV. Spin-singlet states (1sns) n1S family of the Helium sequence

gl(3) Polynomial Integrable System: Different Faces of the 3-Body/A2​ Elliptic Calogero Model

Wolfes model aka $G_{2} / I_{6}$ -rational integrable model: $g^{(2)}, g^{(3)}$ hidden algebras and quartic polynomial algebra of integrals

Ultra-Compact accurate wave functions for He-like iso-electronic sequences and variational calculus. IV. Spin-singlet states $(1 s n s)$ $n^{1} S$ family of the Helium sequence

$gl (3)$ Polynomial Integrable System: Different Faces of the 3-Body/ $A_{2}$ Elliptic Calogero Model