The H$_2^+$ ion in a strong magnetic field. Lowest excited states

dc.creatorTurbiner, A. V.
dc.creatorVieyra, J. C. Lopez
dc.date2003-10-29
dc.date.accessioned2026-07-07T10:27:06Z
dc.date.available2026-07-07T10:27:06Z
dc.descriptionAs 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 $1\si_u$, $2\si_g$, $1π_{u,g}$, $1\de_{g,u}$ electronic states of the molecular ion $H_2^+$ is made. Since the parallel configuration where the molecular axis coincides with the magnetic field direction is optimal, this is the only configuration which is considered. The variational method is applied and the {\it same} trial function is used for different magnetic fields. The magnetic field ranges from $10^9 G$ to $4.414 \times 10^{13} G$ where non-relativistic considerations are justified. Particular attention is paid to the $1\si_u$ state which was studied for an arbitrary inclination. For this state a one-parameter vector potential is used which is then variationally optimized.
dc.description25 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/astro-ph/0310849
dc.identifierhttp://arxiv.org/abs/astro-ph/0310849
dc.identifierPhys.Rev.A69:053413,2004
dc.identifierdoi:10.1103/PhysRevA.69.053413
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/177056
dc.subjectAstrophysics
dc.titleThe H$_2^+$ ion in a strong magnetic field. Lowest excited states
dc.typetext

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