Hojman exact invariants and adiabatic invariants of Hamilton system

Peng Wang; Jian Hui Fang; Ning Ding; Xiao Ni Zhang

doi:10.1088/0253-6102/48/6/007

Hojman exact invariants and adiabatic invariants of Hamilton system

Peng Wang
, Jian Hui Fang
, Ning Ding
, Xiao Ni Zhang

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

The perturbation to Lie symmetry and adiabatic invariants are studied. Based on the concept of higherorder adiabatic invariants of mechanical systems with action of a small perturbation, the perturbation to Lie symmetry is studied, and Hojman adiabatic invariants of Hamilton system are obtained. An example is given to illustrate the application of the results.

Original language	English
Pages (from-to)	996-998
Number of pages	3
Journal	Communications in Theoretical Physics
Volume	48
Issue number	6
DOIs	https://doi.org/10.1088/0253-6102/48/6/007
State	Published - 15 Dec 2007
Externally published	Yes

Keywords

Adiabatic invariant
Exact invariant
Hamilton system
Symmetry

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10.1088/0253-6102/48/6/007

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title = "Hojman exact invariants and adiabatic invariants of Hamilton system",

abstract = "The perturbation to Lie symmetry and adiabatic invariants are studied. Based on the concept of higherorder adiabatic invariants of mechanical systems with action of a small perturbation, the perturbation to Lie symmetry is studied, and Hojman adiabatic invariants of Hamilton system are obtained. An example is given to illustrate the application of the results.",

keywords = "Adiabatic invariant, Exact invariant, Hamilton system, Symmetry",

author = "Peng Wang and Fang, \{Jian Hui\} and Ning Ding and Zhang, \{Xiao Ni\}",

year = "2007",

month = dec,

day = "15",

doi = "10.1088/0253-6102/48/6/007",

language = "English",

volume = "48",

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journal = "Communications in Theoretical Physics",

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T1 - Hojman exact invariants and adiabatic invariants of Hamilton system

AU - Wang, Peng

AU - Fang, Jian Hui

AU - Ding, Ning

AU - Zhang, Xiao Ni

PY - 2007/12/15

Y1 - 2007/12/15

N2 - The perturbation to Lie symmetry and adiabatic invariants are studied. Based on the concept of higherorder adiabatic invariants of mechanical systems with action of a small perturbation, the perturbation to Lie symmetry is studied, and Hojman adiabatic invariants of Hamilton system are obtained. An example is given to illustrate the application of the results.

AB - The perturbation to Lie symmetry and adiabatic invariants are studied. Based on the concept of higherorder adiabatic invariants of mechanical systems with action of a small perturbation, the perturbation to Lie symmetry is studied, and Hojman adiabatic invariants of Hamilton system are obtained. An example is given to illustrate the application of the results.

KW - Adiabatic invariant

KW - Exact invariant

KW - Hamilton system

KW - Symmetry

UR - https://www.scopus.com/pages/publications/38549103796

U2 - 10.1088/0253-6102/48/6/007

DO - 10.1088/0253-6102/48/6/007

M3 - Article

AN - SCOPUS:38549103796

SN - 0253-6102

VL - 48

SP - 996

EP - 998

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 6

ER -

Hojman exact invariants and adiabatic invariants of Hamilton system

Abstract

Keywords

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