dorsal/arxiv
View SchemaAlgebraic Formulation of the Operatorial Perturbation Theory. Part 2. Aplications
| Authors | Ary W. Espinosa--Müller, Adelio R. Matamala Vásquez |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9606013 |
| URL | https://arxiv.org/abs/quant-ph/9606013 |
Abstract
The algebraic approach to operator perturbation method has been applied to two quantum--mechanical systems ``The Stark Effect in the Harmonic Oscillator'' and ``The Generalized Zeeman Effect''. To that end, two realizations of the superoperators involved in the formalism have been carried out. The first of them has been based on the Heisenberg--Dirac algebra of $\hat{a}^\dagger$, $\hat{a}$, $\hat{1}$ operators, the second one has been based in the angular momemtum algebra of $\hat{L}_+$, $\hat{L}_-$ and $\hat{L}_0$ operators. The successful results achieved in predicting the discrete spectra of both systems have put in evidence the reliability and accuracy of the theory.
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"abstract": "The algebraic approach to operator perturbation method has been applied to\ntwo quantum--mechanical systems ``The Stark Effect in the Harmonic Oscillator\u0027\u0027\nand ``The Generalized Zeeman Effect\u0027\u0027. To that end, two realizations of the\nsuperoperators involved in the formalism have been carried out. The first of\nthem has been based on the Heisenberg--Dirac algebra of $\\hat{a}^\\dagger$,\n$\\hat{a}$, $\\hat{1}$ operators, the second one has been based in the angular\nmomemtum algebra of $\\hat{L}_+$, $\\hat{L}_-$ and $\\hat{L}_0$ operators. The\nsuccessful results achieved in predicting the discrete spectra of both systems\nhave put in evidence the reliability and accuracy of the theory.",
"arxiv_id": "quant-ph/9606013",
"authors": [
"Ary W. Espinosa--M\u00fcller",
"Adelio R. Matamala V\u00e1squez"
],
"categories": [
"quant-ph"
],
"title": "Algebraic Formulation of the Operatorial Perturbation Theory. Part 2. Aplications",
"url": "https://arxiv.org/abs/quant-ph/9606013"
},
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