dorsal/arxiv
View SchemaThe $H_3^+$ molecular ion in a magnetic field in linear parallel configuration
| Authors | A. V. Turbiner, N. L. Guevara, J. C. López Vieyra |
|---|---|
| Categories | |
| ArXiv ID | physics/0606083 |
| URL | https://arxiv.org/abs/physics/0606083 |
| DOI | 10.1103/PhysRevA.75.053408 |
Abstract
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 in the Born-Oppenheimer approximation. The variational method is employed with a single trial function which includes electronic correlation in the form $\exp{(\ga r_{12})}$, where $\ga$ is a variational parameter. It is shown that the quantum numbers of the state of the lowest total energy (ground state) depend on the magnetic field strength. The ground state evolves from the spin-singlet ${}^1\Si_g$ state for weak magnetic fields $B \lesssim 5 \times 10^{8} $G to a weakly-bound spin-triplet ${}^3\Si_u$ state for intermediate fields and, eventually, to a spin-triplet $^3\Pi_u$ state for $5 \times 10^{10} \lesssim B \lesssim 4.414 \times 10^{13} $G. Local stability of the linear parallel configuration with respect to possible small deviations is checked.
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"abstract": "A first detailed study of the ground state of the H$_3^+$ molecular ion in\nlinear configuration, parallel to a magnetic field direction, and its low-lying\n$\\Si,\\Pi,\\De$ states is carried out for magnetic fields $B=0-4.414 \\times\n10^{13} $G in the Born-Oppenheimer approximation. The variational method is\nemployed with a single trial function which includes electronic correlation in\nthe form $\\exp{(\\ga r_{12})}$, where $\\ga$ is a variational parameter. It is\nshown that the quantum numbers of the state of the lowest total energy (ground\nstate) depend on the magnetic field strength. The ground state evolves from the\nspin-singlet ${}^1\\Si_g$ state for weak magnetic fields $B \\lesssim 5 \\times\n10^{8} $G to a weakly-bound spin-triplet ${}^3\\Si_u$ state for intermediate\nfields and, eventually, to a spin-triplet $^3\\Pi_u$ state for $5 \\times 10^{10}\n\\lesssim B \\lesssim 4.414 \\times 10^{13} $G. Local stability of the linear\nparallel configuration with respect to possible small deviations is checked.",
"arxiv_id": "physics/0606083",
"authors": [
"A. V. Turbiner",
"N. L. Guevara",
"J. C. L\u00f3pez Vieyra"
],
"categories": [
"physics.atom-ph",
"astro-ph",
"cond-mat.str-el",
"physics.chem-ph"
],
"doi": "10.1103/PhysRevA.75.053408",
"title": "The $H_3^+$ molecular ion in a magnetic field in linear parallel configuration",
"url": "https://arxiv.org/abs/physics/0606083"
},
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