Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Vieyra, J. C. López"'
Autor:
Vieyra, J C Lopez, Turbiner, A V
Publikováno v:
J. Math. Phys. 65, 051702 (2024)
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 superintegrable. Its Hamiltonian $H$ and two integrals ${\cal I}_{1}, {\cal I}_
Externí odkaz:
http://arxiv.org/abs/2310.20481
Autor:
Vieyra, J. C. Lopez, Turbiner, A. V.
Publikováno v:
Advances in Quantum Chemistry 89 (2023) Chapter 5, 305-339
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-like and Li-like sequences, the family of spin-singlet $(1s\,ns)$ typ
Externí odkaz:
http://arxiv.org/abs/2309.01292
Publikováno v:
Int Journal of Quantum Chemistry 123 (8) (2022) qua.26952
As a continuation of Part I, dedicated to the ground state of He-like and Li-like isoelectronic sequences for nuclear charges $Z \leq 20$, and Part II, dedicated to two excited states of He-like sequence, two ultra-compact wave functions in the form
Externí odkaz:
http://arxiv.org/abs/2202.05774
Publikováno v:
Int J Quantum Chem. 2022;e26879
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 for nuclear charges $Z \leq 20$, a few ultra-compact wave functions in t
Externí odkaz:
http://arxiv.org/abs/2108.02145
Publikováno v:
Journal of Quantitative Spectroscopy and Radiative Transfer 265 (2021) 107545
A compact, few-parametric, physically adequate, 3-term variational trial function is used to calculate with high accuracy the energy of the ground state ${}^3\Pi_u$ of the hydrogen molecule ${\rm H}_2$ in strong magnetic field ${\bf B}$ in the range
Externí odkaz:
http://arxiv.org/abs/2010.00106
Publikováno v:
International Journal of Quantum Chemistry 121 (8) (2020) qua.26586
Several ultra-compact accurate wave functions in the form of generalized Hylleraas-Kinoshita functions and Guevara-Harris-Turbiner functions, which describe the domain of applicability of the Quantum Mechanics of Coulomb Charges (QMCC), or, equivalen
Externí odkaz:
http://arxiv.org/abs/2007.11745
Publikováno v:
Journal of Quantitative Spectroscopy and Radiative Transfer 233 (2019) 78-86
Highly accurate variational calculations, based on a few-parameter, physically adequate trial function, are carried out for the hydrogen molecule \hh in inclined configuration, where the molecular axis forms an angle $\theta$ with respect to the dire
Externí odkaz:
http://arxiv.org/abs/1903.08324
Publikováno v:
Phys. Rev. A 100, 012508 (2019)
The existence and stability of the linear hydrogenic chain H$_3$ and H${}_2^-$ in a strong magnetic field is established. Variational calculations for H$_3$ and H${}_2^-$ are carried out in magnetic fields in the range $10^{11}\leq B \leq 10^{13}\,$G
Externí odkaz:
http://arxiv.org/abs/1903.06533
Publikováno v:
J. Phys. A: Math. Theor. 51 (2018) 455202
Superintegrable Hamiltonian systems in a two-dimensional Euclidean space are considered. We present all real standard potentials that allow separation of variables in polar coordinates and admit an independent fourth-order integral of motion. The gen
Externí odkaz:
http://arxiv.org/abs/1804.05751
Publikováno v:
Journal of Physics A: Mathematical and Theoretical 2017
We present all real quantum mechanical potentials in a two-dimensional Euclidean space that have the following properties: 1. They allow separation of variables of the Schr\"odinger equation in polar coordinates, 2. They allow an independent fourth o
Externí odkaz:
http://arxiv.org/abs/1706.08655