dorsal/arxiv
View SchemaA Perturbative Approach to the Relativistic Harmonic Oscillator
| Authors | J. Guerrero, V. Aldaya |
|---|---|
| Categories | |
| ArXiv ID | physics/9802010 |
| URL | https://arxiv.org/abs/physics/9802010 |
| DOI | 10.1142/S0217732399001784 |
| Journal | Mod.Phys.Lett. A14 (1999) 1689-1699 |
Abstract
A quantum realization of the Relativistic Harmonic Oscillator is realized in terms of the spatial variable $x$ and ${\d\over \d x}$ (the minimal canonical representation). The eigenstates of the Hamiltonian operator are found (at lower order) by using a perturbation expansion in the constant $c^{-1}$. Unlike the Foldy-Wouthuysen transformed version of the relativistic hydrogen atom, conventional perturbation theory cannot be applied and a perturbation of the scalar product itself is required.
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"abstract": "A quantum realization of the Relativistic Harmonic Oscillator is realized in\nterms of the spatial variable $x$ and ${\\d\\over \\d x}$ (the minimal canonical\nrepresentation). The eigenstates of the Hamiltonian operator are found (at\nlower order) by using a perturbation expansion in the constant $c^{-1}$. Unlike\nthe Foldy-Wouthuysen transformed version of the relativistic hydrogen atom,\nconventional perturbation theory cannot be applied and a perturbation of the\nscalar product itself is required.",
"arxiv_id": "physics/9802010",
"authors": [
"J. Guerrero",
"V. Aldaya"
],
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"math-ph",
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],
"doi": "10.1142/S0217732399001784",
"journal_ref": "Mod.Phys.Lett. A14 (1999) 1689-1699",
"title": "A Perturbative Approach to the Relativistic Harmonic Oscillator",
"url": "https://arxiv.org/abs/physics/9802010"
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