dorsal/arxiv
View SchemaCoherent states for the hydrogen atom: discrete and continuous spectra
| Authors | Simeon Pol'shin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0108042 |
| URL | https://arxiv.org/abs/quant-ph/0108042 |
| DOI | 10.1088/0305-4470/34/49/323 |
| Journal | J.Phys.A 34 (2001) 11083 |
Abstract
We construct the systems of generalised coherent states for the discrete and continuous spectra of the hydrogen atom. These systems are expressed in elementary functions and are invariant under the $SO(3, 2)$ (discrete spectrum) and $SO(4, 1)$ (continuous spectrum) subgroups of the dynamical symmetry group $SO(4, 2)$ of the hydrogen atom. Both systems of coherent states are particular cases of the kernel of integral operator which interwines irreducible representations of the $SO(4, 2)$ group.
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"abstract": "We construct the systems of generalised coherent states for the discrete and\ncontinuous spectra of the hydrogen atom. These systems are expressed in\nelementary functions and are invariant under the $SO(3, 2)$ (discrete spectrum)\nand $SO(4, 1)$ (continuous spectrum) subgroups of the dynamical symmetry group\n$SO(4, 2)$ of the hydrogen atom. Both systems of coherent states are particular\ncases of the kernel of integral operator which interwines irreducible\nrepresentations of the $SO(4, 2)$ group.",
"arxiv_id": "quant-ph/0108042",
"authors": [
"Simeon Pol\u0027shin"
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"doi": "10.1088/0305-4470/34/49/323",
"journal_ref": "J.Phys.A 34 (2001) 11083",
"title": "Coherent states for the hydrogen atom: discrete and continuous spectra",
"url": "https://arxiv.org/abs/quant-ph/0108042"
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