Fully relativistic calculation of thermal shifts in spectra of hydrogen molecular ion
Abstract
Within a fully relativistic framework, we discuss the one-loop self-energy correction, generalized to the presence of external blackbody radiation, for a bound electron in the hydrogen molecular ion. The calculations rely on the thermal part of the photon propagator from finite-temperature quantum electrodynamics. The Dirac equation with a two-center potential is solved using the dual kinetic balance condition, extended to axially symmetric systems, and a B-spline-based trial function. The results are obtained within the Born-Oppenheimer adiabatic approximation. Thermal shift for the ground term of the hydrogen molecular ion is computed as a function of the internuclear distance. Including this correction, we present the resulting shifts of the vibrational levels. The analysis focuses on the dynamical effect, a comparison is made with data available in the current literature.
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BibTeX
@misc{reiter2026fully,
title = {{Fully relativistic calculation of thermal shifts in spectra of hydrogen molecular ion}},
author = {M. A. Reiter and A. A. Anikin and A. A. Kotov and D. A. Glazov and T. A. Zalialiutdinov and D. A. Solovyev},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22843},
eprint = {2610.22843},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22843},
}
RIS
TY - UNPB
TI - Fully relativistic calculation of thermal shifts in spectra of hydrogen molecular ion
AU - M. A. Reiter
AU - A. A. Anikin
AU - A. A. Kotov
AU - D. A. Glazov
AU - T. A. Zalialiutdinov
AU - D. A. Solovyev
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.22843
UR - https://arxiv.org/abs/2610.22843
AB - Within a fully relativistic framework, we discuss the one-loop self-energy correction, generalized to the presence of external blackbody radiation, for a bound electron in the hydrogen molecular ion. The calculations rely on the thermal part of the photon propagator from finite-temperature quantum electrodynamics. The Dirac equation with a two-center potential is solved using the dual kinetic balance condition, extended to axially symmetric systems, and a B-spline-based trial function. The results are obtained within the Born-Oppenheimer adiabatic approximation. Thermal shift for the ground term of the hydrogen molecular ion is computed as a function of the internuclear distance. Including this correction, we present the resulting shifts of the vibrational levels. The analysis focuses on the dynamical effect, a comparison is made with data available in the current literature.
ER -