Coupled N-dimensional harmonic oscillator systems

被引：3

作者：

Burrows, BL ^{[1
]}

Cohen, M

机构：

[1] Staffordshire Univ, Sch Comp, Math Grp, Stafford ST18 0DG, England

[2] Hebrew Univ Jerusalem, Dept Phys Chem, IL-91904 Jerusalem, Israel

来源：

MOLECULAR PHYSICS | 2000年 / 98卷 / 16期

关键词：

Eigenvalues and eigenfunctions - Electron energy levels - Hamiltonians - Matrix algebra - Perturbation techniques;

D O I：

10.1080/00268970050080447

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

A general decoupling procedure is described for systems of N interacting harmonic oscillators coupled by some bilinear perturbing potentials, and explicit conditions are derived which must be fulfilled in order to obtain physical bound states. Illustrative examples include a general treatment of the 2-oscillator system, some particular extensions to systems containing 3 oscillators, and a class of N-oscillator models.

引用

页码：1083 / 1088

页数：6

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