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We study the effects of finite proton mass on the energy levels of hydrogen atoms moving transverse to a superstrong magnetic field $B$ with generalized pseudomomentum $K_\perp$. Field strengths of order $B\sim 10^{12}$ Gauss are typically…

Astrophysics · Physics 2008-11-26 Dong Lai , Edwin E. Salpeter

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…

Atomic Physics · Physics 2021-08-04 D. J. Nader , A. V. Turbiner , J. C. López Vieyra

We present new ab initio calculations of the electronic structure of various atoms and molecules in strong magnetic fields ranging from B=10^12 G to 2x10^15 G, appropriate for radio pulsars and magnetars. For these field strengths, the…

Astrophysics · Physics 2008-11-26 Zach Medin , Dong Lai

The energy levels of hydrogen and helium atoms in strong magnetic fields are calculated in this study. The current work contains estimates of the binding energies of the first few low-lying states of these systems that are improvements upon…

Astrophysics · Physics 2012-02-08 Anand Thirumalai , Jeremy S. Heyl

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…

Condensed Matter · Physics 2009-11-07 T. Yildirim , A. B. Harris

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…

Astrophysics · Physics 2008-11-26 A. V. Turbiner , J. C. Lopez Vieyra

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…

Astrophysics · Physics 2007-05-23 A. V. Turbiner , J. C. Lopez V. , A. Flores-Riveros

An accurate study of the lowest $1\sigma_g$ and the low-lying excited $1\sigma_u$, $1\pi_{u,g}$, $1\delta_{g,u}$ electronic states of the exotic molecular ion $H_3^{2+}$ in linear configuration parallel to a magnetic field is carried out.…

Astrophysics · Physics 2008-11-26 A. V. Turbiner , J. C. López Vieyra , N. L. Guevara

In this paper we report calculations of potential energy curves in the $1.2 a.u.\le R\le100 a.u.$ range at Multireference Configuration Interaction (MRCI) level for doubly excited states of the H$_2$ molecule. We have focused on the $Q_2$…

Strong magnetic fields have a large impact on the dynamics of molecules. In addition to the changes of the electronic structure, the nuclei are exposed to the Lorentz force with the magnetic field being screened by the electrons. In this…

Chemical Physics · Physics 2021-07-28 Laurens D. M. Peters , Tanner Culpitt , Laurenz Monzel , Erik I. Tellgren , Trygve Helgaker

We formulate the theory for a diatomic molecule in a spatially degenerate electronic state interacting with a non-resonant laser field and investigate its rovibrational structure in the presence of the field. We report on \textit{ab initio}…

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

We consider the hydrogen molecular ion $H^+_2$ in the presence of a strong homogeneous magnetic field. In this regime, the effective Hamiltonian is almost one dimensional with a potential energy which looks like a sum of two Dirac delta…

Mathematical Physics · Physics 2009-11-10 R. D. Benguria , R. Brummelhuis , P. Duclos , S. Perez-Oyarzun

The electronic energy of $\mathrm H_2^+$ in magnetic fields of up to $B=0.2B_0$ (or 4.7 $\times 10^4$ Tesla) is investigated. Numerical values of the magnetic susceptibility for both the diamagnetic and paramagnetic contributions are…

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

Using a variational method we study a sequence of the one-electron atomic and molecular-type systems H, H_2^+, H_3^(2+) and H_4^(3+) in the presence of a homogeneous magnetic field ranging B = 0 - 4.414x10^{13} G. These systems are taken as…

Astrophysics · Physics 2009-10-31 J. C. Lopez V. , A. Turbiner

The low-energy electron-impact dissociation of molecular hydrogen has been a source of disagreement between various calculations and measurements for decades. Excitation of the ground state of H$_2$ into the dissociative $b ^3\Sigma_u^+$…

Plasma Physics · Physics 2021-02-24 Liam H. Scarlett , Dmitry V. Fursa , Jack Knol , Mark C. Zammit , Igor Bray

We present benchmark integrated and differential cross-sections for electron collisions with H$_2$ using two different theoretical approaches, namely, the R-matrix and molecular convergent close-coupling (MCCC). This is similar to…

Chemical Physics · Physics 2020-08-31 T. Meltzer , J. Tennyson , Z. Mašín , M. C. Zammit , L. H. Scarlett , D. V. Fursa , I. Bray

Using the variational method, a detailed study of the lowest m = 0,-1 electronic states of the exotic molecular ion H_4^{3+} in a strong magnetic field, in the linear symmetric configuration parallel to the direction of the magnetic field…

Atomic Physics · Physics 2007-05-23 H. Olivares Pilón

We theoretically investigate the properties of highly polar diatomic molecules containing $^2S$-state transition-metal atoms. We calculate potential energy curves, permanent electric dipole moments, spectroscopic constants, and leading…

Atomic Physics · Physics 2021-02-16 Michał Śmiałkowski , Michał Tomza
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