Common Generating Functions of Complete Harmonic Oscillator Wave Functions and Transformation Brackets in D Dimensions

L.Chaos-Cador; E.Ley-Koo

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Common Generating Functions of Complete Harmonic Oscillator Wave Functions and Transformation Brackets in D Dimensions

机译：完整的谐振子波函数的通用生成函数和D维变换支架

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The separability of the Schrodinger equation for harmonic oscillators in D dimensions and in different coordinate systems (Cartesian, circular, spherical) makes possible the construction of common generating functions for the complete harmonic oscillator wave functions in the corresponding dimensions and coordinates. Explicit forms of such generating functions and their series expansions are presented, and one of their applications is illustrated through the evaluation of transformation brackets.

机译：Schrodinger方程在D维和不同坐标系（笛卡尔，圆形，球形）中的谐振子具有可分离性，因此有可能为相应尺寸和坐标中的完整谐振子波函数构造通用的生成函数。给出了此类生成函数的显式形式及其系列扩展，并通过评估转换括号来说明其应用之一。

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《International Journal of Quantum Chemistry》 |2004年第4期|共10页
作者
L.Chaos-Cador; E.Ley-Koo;
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原文格式 PDF
正文语种 eng
中图分类结构化学;
关键词
generating functions; harmonic oscillator wave functions; unitary transformations; transformation brackets;

机译：生成函数;谐波振荡波函数;unit变换;变换括号;

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1. Common Generating Functions of Complete Harmonic Oscillator Wave Functions and Transformation Brackets in D Dimensions [J] . L.Chaos-Cador, E.Ley-Koo International Journal of Quantum Chemistry . 2004,第4期

机译：完整的谐振子波函数的通用生成函数和D维变换支架
2. Common generating function for two-dimensional hydrogen atom complete wave functions [J] . Chaos-Cador L, Ley-Koo E International Journal of Quantum Chemistry . 2007,第1期

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3. TRANSFORMATION BRACKET FOR 2D HARMONIC OSCILLATOR FUNCTIONS AND ITS APPLICATION TO FEW-ELECTRON QUANTUM [J] . Ruan WY. Journal of Mathematical Physics . 1996,第8期

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8. Transformation Between Harmonic-Oscillator Wave Functions in Different Coordinate Bases [R] . Davies, K. T. R., Krieger, S. J. 1981

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Common Generating Functions of Complete Harmonic Oscillator Wave Functions and Transformation Brackets in D Dimensions

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