20 citations · 124 across the 24 of their papers we have counts for
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Ultra-Compact accurate wave functions for He-like iso-electronic sequences and variational calculus. IV. Spin-singlet states 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…
Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. III. Spin-quartet state of the Lithium sequence
D. J. Nader, J. C. del Valle, J. C. Lopez Vieyra +1
As a continuation of Part I, dedicated to the ground state of He-like and Li-like isoelectronic sequences for nuclear charges , and Part II, dedicated to two excited sta…
Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. II. Spin-singlet (excited) and spin-triplet (lowest) states of the Helium sequence
A. V. Turbiner, J. C. Lopez Vieyra, J. C. del Valle +1
As a continuation of Part I \cite{Part-1:2020} (Int. Journal of Quantum Chem. 2021; 121: qua.26586), dedicated to the ground state of He-like and Li-like isoelectronic sequences fo…
The molecule in a strong magnetic field revisited
D. J. Nader, A. V. Turbiner, J. C. López Vieyra
A compact, few-parametric, physically adequate, 3-term variational trial function is used to calculate with high accuracy the energy of the ground state of the hydrogen m…
Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. I. Ground state
A. V. Turbiner, J. C. Lopez Vieyra, J. C. del Valle +1
Several ultra-compact accurate wave functions in the form of generalized Hylleraas-Kinoshita functions and Guevara-Harris-Turbiner functions, which describe the domain of applicabi…
The He molecular ion and the He atomic ion in strong magnetic fields
J. C. Lopez Vieyra, A. V. Turbiner
We study the question about existence i.e. stability with respect to dissociation of the spin-quartet, permutation- and reflection-symmetric () state…
Three-body quantum Coulomb problem: analytic continuation
A. V. Turbiner, J. C. Lopez Vieyra, H. Olivares Pilon
The second (unphysical) critical charge in the 3-body quantum Coulomb system of a nucleus of positive charge and mass , and two electrons, predicted by F~Stillinger has be…
Stable He can exist in a strong magnetic field
A. V. Turbiner, J. C. Lopez Vieyra
The existence of bound states of the system $(\al,e,e,e)$ in a magnetic field is studied using the variational method. It is shown that for this sy…