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GAO, XC; XU, JB; GAO, J; GAO, XC , CHINESE CTR ADV SCI & TECHNOL WORLD LAB,POB 8730,BEIJING,PEOPLES R CHINA.
A NEW APPROACH TO THE STUDY OF NOETHER INVARIANTS AND SYMMETRY ALGEBRAS
Source PublicationPROGRESS OF THEORETICAL PHYSICS
KeywordHarmonic-oscillator
AbstractIn this paper, the driven generalized time-dependent harmonic oscillator (DGTHO) is studied by making use of the new concept of quantum basic invariants. The connection between the quantum basic invariants and classical Noether's theorem is discussed. The classical basic invariants as well as the general form of classical invariants for the system are found. From these, we get the five Noether invariants and the set of corresponding infinitesimal generators {G(k)}, hence, generalizing the work of G. Profilo and G. Soliani. Also, for the system, we calculate the current algebra which, as the central extension of the {G(k)} algebra, should be regarded as the dynamical symmetry algebra for the system and is therefore more important than the {G(k)} algebra. Finally, we demonstrate the existence of a kind of converse of Noether's theorem.
1992
ISSN0033-068X
Volume87Issue:4Pages:861-870
Subject AreaPhysics
Indexed BySCI
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/12175
Collection理论物理所科研产出_SCI论文
Corresponding AuthorGAO, XC , CHINESE CTR ADV SCI & TECHNOL WORLD LAB,POB 8730,BEIJING,PEOPLES R CHINA.
Recommended Citation
GB/T 7714
GAO, XC,XU, JB,GAO, J,et al. A NEW APPROACH TO THE STUDY OF NOETHER INVARIANTS AND SYMMETRY ALGEBRAS[J]. PROGRESS OF THEORETICAL PHYSICS,1992,87(4):861-870.
APA GAO, XC,XU, JB,GAO, J,&GAO, XC , CHINESE CTR ADV SCI & TECHNOL WORLD LAB,POB 8730,BEIJING,PEOPLES R CHINA..(1992).A NEW APPROACH TO THE STUDY OF NOETHER INVARIANTS AND SYMMETRY ALGEBRAS.PROGRESS OF THEORETICAL PHYSICS,87(4),861-870.
MLA GAO, XC,et al."A NEW APPROACH TO THE STUDY OF NOETHER INVARIANTS AND SYMMETRY ALGEBRAS".PROGRESS OF THEORETICAL PHYSICS 87.4(1992):861-870.
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