The rotating harmonic oscillator revisited

被引：2

作者：

Fernandez, Francisco M. ^{[1
]}

机构：

[1] INIFTA, Div Quim Teor, Blvd 113 & 64 S-N,Sucursal 4,Casilla Correo 16, RA-1900 La Plata, Argentina

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2022年 / 60卷 / 03期

关键词：

Rotating oscillator; Exact solutions; Frobenius method; Three-term recurrence relation; Truncation; EIGENVALUE PROBLEM; EQUATION; PAPER;

D O I：

10.1007/s10910-021-01320-9

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

We analyze the distribution of the eigenvalues of the quantum-mechanical rotating harmonic oscillator by means of the Frobenius method. A suitable ansatz leads to a three-term recurrence relation for the expansion coefficients. Truncation of the series yields some particular eigenvalues and eigenfunctions in exact analytical form. The former can be organized in such a way that one obtains suitable information about the whole spectrum of the model.

引用

页码：555 / 561

页数：7

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