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Analytical approximations are constructed for binding energies of hydrogen atoms arbitrarily moving in magnetic fields 7\times10^{11} G to 2\times10^{13} G, typical of magnetic neutron stars.

Atomic Physics · Physics 2008-02-03 A. Y. Potekhin

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

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

We calculate the atomic structure of hydrogen and helium, atoms and molecules in an intense magnetic field, analytically and numerically with a judiciously chosen basis.

Atomic Physics · Physics 2009-10-31 Jeremy S. Heyl , Lars Hernquist

Easy physics-inspired approximations of the total and binding energies for the ${\rm H}$ atom and for the molecular ions $${\rm H}_2^{(+)} ({\rm ppe}), {\rm H}_3^{(2+)} ({\rm pppe}), ({\rm HeH})^{++} (\al {\rm p e}), {\rm He}_2^{(3+)} (\al…

Atomic Physics · Physics 2007-05-23 A. V. Turbiner , A. B. Kaidalov , J. C. Lopez Vieyra

High magnetic fields in neutron stars, B ~ 10^{11} - 10^{13} G, substantially modify the properties of atoms and their interaction with radiation. In particular, the photoionization cross section becomes anisotropic and strongly…

atom-ph · Physics 2008-02-03 A. Y. Potekhin , G. G. Pavlov , J. Ventura

We present a new pseudospectral algorithm for the calculation of the structure of atoms in strong magnetic fields. We have verified this technique for one, two and three-electron atoms in zero magnetic fields against laboratory results and…

Atomic Physics · Physics 2015-05-13 Jeremy S. Heyl , Anand Thirumalai

We derive in a straightforward way the spectrum of a hydrogen atom in a strong magnetic field.

Quantum Physics · Physics 2007-05-23 I. B. Khriplovich , G. Yu. Ruban

The first order perturbations of the energy levels of a hydrogen atom in central internal gravitational field are investigated. The internal gravitational field is produced by the mass of the atomic nucleus. The energy shifts are calculated…

General Relativity and Quantum Cosmology · Physics 2009-03-19 Zhen-Hua Zhao , Yu-Xiao Liu , Xi-Guo Li

A charged particle in a magnetic field possesses discrete energy levels associated with particle rotation around the field lines. A bound complex of particles with a nonzero net charge possesses an analogous levels associated with its…

Atomic Physics · Physics 2021-02-16 I. V. Demidov , A. Y. Potekhin

Extending the Feynman-Kleinert variational approach, we calculate the temperature-dependent effective classical potential governing the quantum statistics of a hydrogen atom in a uniform magnetic at all temperatures. The zero-temperature…

Quantum Physics · Physics 2009-11-06 M. Bachmann , H. Kleinert , A. Pelster

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

By an extension of the Feynman-Kleinert variational approach, we calculate the temperature-dependent effective classical potential governing the quantum statistical properties of a hydrogen atom in a uniform magnetic field. In the…

Quantum Physics · Physics 2009-11-06 Michael Bachmann , Hagen Kleinert , Axel Pelster

We investigate the electromagnetic transition probabilities for the helium atom embedded in a superstrong magnetic field taking into account the finite nuclear mass. We address the regime \gamma=100-10000 a.u. studying several excited…

Atomic Physics · Physics 2009-11-10 O. -A. Al-Hujaj , P. Schmelcher

The two-dimensional hydrogen-like atom in a constant magnetic field is considered. It is found that this is actually two separate problems. One for which the magnetic field causes an effective attraction between the nucleus and the electron…

Mathematical Physics · Physics 2022-11-15 M. G. Naber

Recent observations of thermally emitting isolated neutron stars revealed spectral features that could be interpreted as radiative transitions of He in a magnetized neutron star atmosphere. We present Hartree-Fock calculations of the…

Astrophysics · Physics 2011-11-09 Zach Medin , Dong Lai , Alexander Y. Potekhin

We present semi-analytic solutions for atomic transition rates in hydrogenic atoms induced by scalar, pseudoscalar, vector, axial-vector, and tensor interactions. Our results agree with quantum electrodynamics predictions to $\sim…

High Energy Physics - Phenomenology · Physics 2024-10-29 Martin Bauer , Javier Perez-Soler , Jack D. Shergold

The quadrupole moment of a hydrogen atom in a magnetic field for field strengths from 0 to 4.414e13 G is calculated by two different methods. The first method is variational, and based on a single trial function. The second method deals…

Atomic Physics · Physics 2007-05-23 A. Y. Potekhin , A. V. Turbiner

Relativistic strong-field ionization of hydrogen-like atoms or ions in a constant crossed electromagnetic field is studied. The transition amplitude is formulated within the strong-field approximation in G\"oppert-Mayer gauge, with initial…

Atomic Physics · Physics 2023-03-29 A. Eckey , M. Klaiber , A. B. Voitkiv , C. Müller

Hydrogen recombination in the early Universe in the presence of a magnetic field is studied. An equation for the temperature of recombination in the presence of a magnetic field is derived. Limiting cases of weak and strong fields are…

High Energy Physics - Phenomenology · Physics 2016-11-21 N. O. Agasian , S. M. Fedorov
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