Algebraic Formulation of the Operatorial Perturbation Theory. Part 2. Aplications
Abstract
The algebraic approach to operator perturbation method has been applied to two quantummechanical 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 HeisenbergDirac 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.
 Publication:

arXiv eprints
 Pub Date:
 June 1996
 DOI:
 10.48550/arXiv.quantph/9606013
 arXiv:
 arXiv:quantph/9606013
 Bibcode:
 1996quant.ph..6013E
 Keywords:

 Quantum Physics
 EPrint:
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