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We study the question about existence i.e. stability with respect to dissociation of the spin-quartet, permutation- and reflection-symmetric ${}^4(-3)^+_g$ ($S_z=-3/2, M=-3$) state of the $(\alpha\alpha e e e)$ Coulomb system: the ${\rm…

Atomic Physics · Physics 2017-08-16 J. C. Lopez Vieyra , A. V. Turbiner

The $He^+$ ion on a plane subject to a constant magnetic field $B$ perpendicular to the plane is considered taking into account the finite nuclear mass. Factorization of eigenfunctions permits to reduce the four-dimensional problem to…

Atomic Physics · Physics 2015-06-22 M. A. Escobar-Ruiz

This study provides insights into the static and dynamic quantum properties of the trinuclear high-spin iron(III) molecular complex $[\mathrm{Fe}_3\mathrm{Cl}_3(\mathrm{saltag^\mathrm{Br}})(\mathrm{py})_6]\mathrm{ClO}_4$ to be further…

Quantum Physics · Physics 2025-10-07 Hamid Arian Zad , Jozef Strečka , Winfried Plass

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…

Atomic Physics · Physics 2019-08-06 A. Alijah , J. C. López Vieyra , D. J. Nader , A. V. Turbiner , H. Medel Cobaxin

The existence of bound states of the system $(\al,e,e,e)$ in a magnetic field $B$ is studied using the variational method. It is shown that for $B \gtrsim 0.13\,{\rm a.u.}$ this system gets bound with total energy below the one of the…

Atomic Physics · Physics 2019-08-13 A. V. Turbiner , J. C. Lopez Vieyra

The one-electron Li-containing Coulomb systems of atomic type $(li, e)$ and molecular type $(li, li, e)$, $(li, \alpha, e)$ and $(li, p, e)$ are studied in the presence of a strong magnetic field $B \leq 10^{7}$ a.u. in the non-relativistic…

High Energy Astrophysical Phenomena · Physics 2015-05-14 H. Olivares Pilón , D. Baye , A. V. Turbiner , J. C. López Vieyra

The present study is devoted to the possibility that tri-atomic molecules were formed during or shortly after the Big Bang. For this purpose we consider the ordinary $H_3^{+}$ and $H_3$ and the primitive tri-atomic molecular system,…

Chemical Physics · Physics 2018-09-26 Bijit Mukherjee , Debasis Mukhopadhyay , Satrajit Adhikari , Michael Baer

The electronic structure of the ground and some excited states of neutral atoms with the nuclear charge numbers $1\leq Z \leq 10$ and their single positive ions are investigated by means of our 2D mesh Hartree-Fock method for strong…

Atomic Physics · Physics 2009-10-31 M. V. Ivanov , P. Schmelcher

The electronic structure of the hydrogen molecule is investigated for the parallel configuration. The ground states of the Sigma manifold are studied for ungerade and gerade parity as well as singlet and triplet states covering a broad…

Chemical Physics · Physics 2009-10-30 T. Detmer , P. Schmelcher , F. K. Diakonos , L. S. Cederbaum

We present the theory of radiative association of atoms and molecules, and we apply it to the (H$_2$-H$^-$) van der Waals complex. We discuss the possibility for the H$_3^-$ ion to be formed in the interstellar medium in an environment with…

Atomic Physics · Physics 2009-10-14 V. Kokoouline , M. Ayouz , R. Guerout , M. Raoult , J. Robert , O. Dulieu

The magnetic dipole transitions in the homonuclear molecular ion H$_2^+$ are obtained for a wide range of $v$ and $L$, vibrational and total orbital momentum quantum numbers, respectively. Calculations are performed in the nonrelativistic…

Atomic Physics · Physics 2023-11-09 D. T. Aznabayev , A. K. Bekbaev , V. I. Korobov

Using a single trial function we perform an accurate calculation of the ground state $1\sigma_g$ of the hydrogenic molecular ion $H^+_2$ in a constant uniform magnetic field ranging $0-10^{13}$ G. We show that this trial function also makes…

Astrophysics · Physics 2009-10-30 J. C. Lopez , P. O. Hess , A. Turbiner

A non-relativistic classification of charged molecular hydrogenic, helium and mixed helium-hydrogenic chains with one or two electrons which can exist in a strong magnetic field $B \lesssim 10^{16} $G is given. It is shown that for both…

High Energy Astrophysical Phenomena · Physics 2015-05-14 A. V. Turbiner , N. L. Guevara , J. C. Lopez Vieyra

We study the energy levels of a single particle in a homogeneous magnetic field and in an axially symmetric external potential. For potentials that are superharmonic off the central axis, we find a general ``pseudoconcave'' ordering of the…

Mathematical Physics · Physics 2007-05-23 Bernhard Baumgartner , Robert Seiringer

The electronic structure of the hydrogen molecule in a magnetic field is investigated for parallel internuclear and magnetic field axes. The lowest states of the $\Pi$ manifold are studied for spin singlet and triplet$(M_s = -1) $ as well…

Chemical Physics · Physics 2009-10-30 T. Detmer , P. Schmelcher , L. S. Cederbaum

Using a first principles based, magnetic tight-binding total energy model, the magnetization energy and moments are computed for various ordered spin configurations in the high pressure polymorphs of iron (fcc, or $\gamma$-Fe, and hcp, or…

Materials Science · Physics 2009-11-10 R. E. Cohen

A detailed study of the lowest states $1s_0, 2p_{-1}, 2p_0$ of the hydrogen atom placed in a magnetic field $B\in(0-4.414\times 10^{13} {\rm G})$ and their electromagnetic transitions ($1s_{0} \leftrightarrow 2p_{-1}$ and $ 1s_{0}…

Astrophysics · Physics 2007-11-19 J. C. López Vieyra , H. O. Pilón

Ho$_3$ScO$_6$ harbours a frustrated Maple Leaf Lattice (MLL). It crystalizes in the Mg$_3$TeO$_6$-type structure, and has a centrosymmetric trigonal space group (R$\bar{3}$). This system contains stacked layers of magnetic rings along the…

Strongly Correlated Electrons · Physics 2024-10-29 C. Aguilar-Maldonado , R. Feyerherm , K. Prokeš , L. Keller , B. Lake

The lowest bound states of the hydrogen negative ion and negative donor systems in a homogeneous magnetic field are investigated theoretically via a full configuration interaction approach with an anisotropic Gaussian basis set. The broad…

Atomic Physics · Physics 2007-05-23 Alexander Al-Hujaj , Peter Schmelcher

The hexagonal polymorph of Ba$_3$Tb(BO$_3$)$_3$ contains Tb$^{3+}$ ions on a quasi-2D triangular lattice, resulting in geometric magnetic frustration. Powder samples of Ba$_3$Tb(BO$_3$)$_3$ have been investigated using specific heat, powder…

Strongly Correlated Electrons · Physics 2025-02-21 Nicola Kelly , Manh Duc Le , Denis Sheptyakov , Camilla Tacconis , Cheng Liu , Gavin Stenning , Peter Baker , Siân Dutton