Applying invariant eigen-operator method to deriving normal coordinates of general classical Hamiltonian

For classical Hamiltonian with general form H = 1/2∑ijMijpipj＋1/2∑ijLijqiqj we find a new convenient way to obtain its normal coordinates, namely, let H be quantised and then employ the invariant eigen-operator （IEO） method （Fan et al. 2004 Phys. Lett. A 321 75） to derive them. The general matrix eq...

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Bibliographic Details
Published inChinese physics B Vol. 19; no. 9; pp. 145 - 149
Main Author 范洪义 陈俊华 袁洪春
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.09.2010
Subjects
Invariants
Mathematical analysis
不变特征
不变量
哈密顿
矩阵方程
算符方法
Online AccessGet full text
ISSN1674-1056
2058-3834
DOI10.1088/1674-1056/19/9/090312

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Summary:For classical Hamiltonian with general form H = 1/2∑ijMijpipj＋1/2∑ijLijqiqj we find a new convenient way to obtain its normal coordinates, namely, let H be quantised and then employ the invariant eigen-operator （IEO） method （Fan et al. 2004 Phys. Lett. A 321 75） to derive them. The general matrix equation, which relies on M and L, for obtaining the normal coordinates of H is derived.
Bibliography:O413.1
invariant eigen-operator method method, normal coordinates
11-5639/O4
U412.24
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ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/19/9/090312