NDLI: Lie Symmetrical Perturbation and Adiabatic Invariants of Generalized Hojman Type for Relativistic Birkhoffian Systems

Please wait, while we are loading the content...

Lie Symmetrical Perturbation and Adiabatic Invariants of Generalized Hojman Type for Relativistic Birkhoffian Systems

Content Provider	Scilit
Author	Shao-Kai, Luo Yong-Xin, Guo
Copyright Year	2007
Description	Journal: Communications in Theoretical Physics For a relativistic Birkhoffian system, the Lie symmetrical perturbation and adiabatic invariants of generalized Hojman type are studied under general infinitesimal transformations. On the basis of the invariance of relativistic Birkhoffian equations under general infinitesimal transformations, Lie symmetrical transformations of the system are constructed, which only depend on the Birkhoffian variables. The exact invariants in the form of generalized Hojman conserved quantities led by the Lie symmetries of relativistic Birkhoffian system without perturbations are given. Based on the definition of higher-order adiabatic invariants of a mechanical system, the perturbation of Lie symmetries for relativistic Birkhoffian system with the action of small disturbance is investigated, and a new type of adiabatic invariants of the system is obtained. In the end of the paper, an example is given to illustrate the application of the results.
Related Links	http://iopscience.iop.org/article/10.1088/0253-6102/47/1/006/pdf
Ending Page	30
Page Count	6
Starting Page	25
ISSN	02536102
e-ISSN	15729494
DOI	10.1088/0253-6102/47/1/006
Journal	Communications in Theoretical Physics
Issue Number	1
Volume Number	47
Language	English
Publisher	IOP Publishing
Publisher Date	2007-01-15
Access Restriction	Open
Subject Keyword	Journal: Communications in Theoretical Physics Mathematical Physics Lie Symmetrical Symmetrical Perturbation Birkhoffian Systems Generalized Hojman Hojman Type Adiabatic Invariants Relativistic Birkhoffian
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Lie symmetrical perturbation and adiabatic invariants of generalized Hojman type for Lagrange systems

Lie Symmetrical Perturbation and Adiabatic Invariants of Generalized Hojman Type for Disturbed Nonholonomic Systems

Perturbation to Lie Symmetry and Adiabatic Invariants for General Holonomic Mechanical Systems

Lie symmetrical perturbation and a new type of non-Noether adiabatic invariants for disturbed generalized Birkhoffian systems

Conserved quantities and adiabatic invariants of fractional Birkhoffian system of Herglotz type*

Perturbation to Mei Symmetry and Generalized Mei Adiabatic Invariants for Birkhoffian Systems

Perturbation to Noether Symmetries and Adiabatic Invariants for Birkhoffian Systems

Lie symmetries, perturbation to symmetries and adiabatic invariants of Poincaré equations

Exact Invariants and Adiabatic Invariants of Raitzin's Canonical Equations of Motion for Nonholonomic System of Non-Chetaev's Type

Lie Symmetrical Perturbation and Adiabatic Invariants of Generalized Hojman Type for Relativistic Birkhoffian Systems

Similar Documents

Lie symmetrical perturbation and adiabatic invariants of generalized Hojman type for Lagrange systems

Lie Symmetrical Perturbation and Adiabatic Invariants of Generalized Hojman Type for Disturbed Nonholonomic Systems

Perturbation to Lie Symmetry and Adiabatic Invariants for General Holonomic Mechanical Systems

Lie symmetrical perturbation and a new type of non-Noether adiabatic invariants for disturbed generalized Birkhoffian systems

Conserved quantities and adiabatic invariants of fractional Birkhoffian system of Herglotz type*

Perturbation to Mei Symmetry and Generalized Mei Adiabatic Invariants for Birkhoffian Systems

Perturbation to Noether Symmetries and Adiabatic Invariants for Birkhoffian Systems

Lie symmetries, perturbation to symmetries and adiabatic invariants of Poincaré equations

Exact Invariants and Adiabatic Invariants of Raitzin's Canonical Equations of Motion for Nonholonomic System of Non-Chetaev's Type

Lie Symmetrical Perturbation and Adiabatic Invariants of Generalized Hojman Type for Relativistic Birkhoffian Systems