运算微扰理论的代数表述。部分2.应用领域
Algebraic Formulation of the Operatorial Perturbation Theory. Part 2. Aplications
摘要：
本文将算符微扰法的代数方法应用于两个量子力学系统“谐振子中的斯塔克效应”和“广义塞曼效应”。为此，对形式主义中涉及的超算子进行了两种实现。第一种是基于$\hat{a}^\dagger$，$\hat{a}$，$\hat{1}$算子的Heisenberg-Dirac代数，第二种是基于$\hat{L}_+$，$\hat{L}_-$，$\hat{L}_0$算子的角动量代数.对这两个体系的离散谱的成功预测表明了理论的可靠性和准确性。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
