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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…

化学物理 · 物理学 2009-10-30 T. Detmer , P. Schmelcher , F. K. Diakonos , L. S. Cederbaum

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…

化学物理 · 物理学 2009-10-30 T. Detmer , P. Schmelcher , L. S. Cederbaum

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…

原子物理 · 物理学 2021-08-04 D. J. Nader , A. V. Turbiner , J. C. López Vieyra

As a continuation of our previous work ({\it Phys. Rev. A68, 012504 (2003)}) an accurate study of the lowest $1\si_g$ and the low-lying excited $1\si_u$, $2\si_g$, $1\pi_{u,g}$, $1\de_{g,u}$ electronic states of the molecular ion $H_2^+$ is…

天体物理学 · 物理学 2008-11-26 A. V. Turbiner , J. C. Lopez Vieyra

A first detailed study of the ground state of the H$_3^+$ molecular ion in linear configuration, parallel to a magnetic field direction, and its low-lying $\Si,\Pi,\De$ states is carried out for magnetic fields $B=0-4.414 \times 10^{13} $G…

原子物理 · 物理学 2009-11-11 A. V. Turbiner , N. L. Guevara , J. C. López Vieyra

Excited states of the hydrogen molecule subject to a homogeneous magnetic field are investigated for the parallel configuration in the complete regime of field strengths B=0-100a.u.. Up to seven excitations are studied for gerade as well as…

化学物理 · 物理学 2009-11-06 Peter Schmelcher , Thomas Detmer , Lorenz Cederbaum

In the framework of a variational method with a single trial function an accurate study of the lowest gerade 1g and ungerade 1u electronic states of the molecular ion $H_2^+$ in a magnetic field is performed. Magnetic field ranges from 0 to…

天体物理学 · 物理学 2007-05-23 A. V. Turbiner , J. C. Lopez V. , A. Flores-Riveros

We present high-precision non-relativistic variational calculations of bound vibrational-rotational state energies for the $H_2^+$ and $D_2^+$ molecular ions in each of the lowest electronic states of $\Sigma_g$, $\Sigma_u$, and $\Pi_u$…

原子物理 · 物理学 2007-05-23 J. M. Taylor , Zong-Chao Yan , A. Dalgarno , J. F. Babb

A detailed study of the low-lying electronic states ${}^1\Si,{}^3\Si,{}^3\Pi,{}^3\De$ of the $\rm{HeH}^+$ molecular ion in parallel to a magnetic field configuration (when $\al$-particle and proton are situated on the same magnetic line) is…

原子物理 · 物理学 2009-11-13 A. V. Turbiner , N. L. Guevara

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}…

天体物理学 · 物理学 2007-11-19 J. C. López Vieyra , H. O. Pilón

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…

高能天体物理现象 · 物理学 2019-07-17 D. J. Nader , J. C. López Vieyra , A. V. Turbiner

A trial function is presented for the $H_2$ molecule which provides the most accurate (the lowest) Bohr-Oppenheimer ground state energy among few-parametric trial functions (with $\leq 14$ parameters). It includes the electronic correlation…

原子物理 · 物理学 2007-05-23 A. V. Turbiner , N. L. Guevara

A detailed study of the ground state of the Coulomb system $(\al \al e e)$ which corresponds to the $He_2^{2+}$ molecular ion in a magnetic field $B=0-4.414 \times 10^{13} $ G in parallel configuration (infinitely massive $\al-$particles…

天体物理学 · 物理学 2008-11-26 A. V. Turbiner , N. L. Guevara

We report on accurate variational calculations of the Born-Oppenheimer potential for excited states of the hydrogen molecule with $\Pi$, $\Delta$, and $\Phi$ symmetries. The obtained potential energy curves reach the relative precision of…

原子物理 · 物理学 2023-01-11 Michał Siłkowski , Krzysztof Pachucki

Three simple $7-, (7+3)-, 10-$parametric trial functions for the ${\rm H}_3^+$ molecular ion are presented. Each of them provides subsequently the most accurate approximation for the Born-Oppenheimer ground state energy among…

量子物理 · 物理学 2015-05-28 J. C. Lopez Vieyra , A. V. Turbiner , H. Medel Cobaxin

We report a theoretical scheme using a B-spline basis set to improve the poor computational accuracy of circular Rydberg states of hydrogen atoms in the intermediate magnetic field. This scheme can produce high accuracy energy levels and…

原子物理 · 物理学 2015-05-30 L. B. Zhao , B. C. Saha , M. L. Du

We report intermolecular potential-energy calculations for solid C_${70}$ and determine the optimum static orientations of the molecules at low temperature; we find them to be consistent with the monoclinic structural model proposed by us…

凝聚态物理 · 物理学 2009-10-31 G. Ghosh , V. S. Sastry , T. S. Radhakrishnan

The states of hydrogen atom with principal quantum number $n\le3$ and zero magnetic quantum number in constant homogeneous magnetic field ${\cal H}$ are considered. The coefficients of energy eigenvalues expansion up to 75th order in powers…

原子物理 · 物理学 2015-08-06 V. A. Gani , A. E. Kudryavtsev , V. M. Weinberg

The calculation of the hindered roton-phonon energy levels of a hydrogen molecule in a confining potential with different symmetries is systematized for the case when the rotational angular momentum $J$ is a good quantum number. One goal of…

凝聚态物理 · 物理学 2009-11-07 T. Yildirim , A. B. Harris

The states of hydrogen atom with principal quantum number n <= 3 and zero magnetic quantum number in constant homogeneous magnetic field H are considered. The perturbation theory series is summed with the help of Borel transformation and…

原子物理 · 物理学 2016-11-23 V. A. Gani , A. E. Kudryavtsev , V. A. Lensky , V. M. Weinberg
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