Study of a bounded oscillator problem in one dimension

Ciftci H; Ateser E

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Study of a bounded oscillator problem in one dimension

机译：一维有界振荡器问题的研究

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In this paper, we have studied the bounded oscillator potential for the Schrodinger equation with the asymptotic iteration method (AIM). This work introduces a simple perturbation expansion and a new analytical expression for the energy eigenvalues. Our results have been compared with those obtained from the direct application of the AIM.

机译：在本文中，我们使用渐近迭代法（AIM）研究了Schrodinger方程的有界振荡器势。这项工作为能量特征值引入了一个简单的摄动展开和一个新的解析表达式。我们的结果已经与直接应用AIM获得的结果进行了比较。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2007年第5期|共4页
作者
Ciftci H; Ateser E;
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正文语种 eng
中图分类物理学;
关键词
ASYMPTOTIC ITERATION METHOD; ANGULAR SPHEROIDAL EIGENVALUES; SOLVABLE MATRIX MODELS; SCHRODINGER-EQUATION; DIFFERENTIAL-OPERATORS; ANHARMONIC-OSCILLATORS; PARTIAL ALGEBRAIZATION; PERTURBATION-THEORY; LIE-ALGEBRAS; EIGENENERGIES;

机译：渐近迭代法;角球面特征值;可解矩阵模型;Schrodinger方程;微分算子;无振动子;PA代数;扰动理论;李代数;特征;

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1. Study of a bounded oscillator problem in one dimension [J] . Ciftci H, Ateser E Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2007,第5期

机译：一维有界振荡器问题的研究
2. Bound states of two-dimensional relativistic harmonic oscillators [J] . Qiang Wen-Chao Chinese physics . 2004,第3期

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7. Multiparametric oscillator Hamiltonians with exact bound states in infinite-dimensional space [O] . Znojil, Miloslav 2004

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Study of a bounded oscillator problem in one dimension

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