NDLI: Conserved Quantities and Adiabatic Invariants for El-Nabulsi’s Fractional Birkhoff System

Content Provider	Springer Nature Link
Author	Song, Chuan Jing Zhang, Yi
Copyright Year	2014
Abstract	Based on El-Nabulsi-Birkhoff fractional equations, Lie symmetry and the Hojman conserved quantity, the Noether conserved quantity deduced indirectly by the Lie symmetry and adiabatic invariants of Lie symmetrical perturbation are studied under the framework of El-Nabulsi’s fractional model. Firstly, Lie symmetry and the Hojman conserved quantity are obtained, including the equations of motion of EI-Nabulsi’s fractional Birkhoff system, the determining equations of Lie symmetry for the system and the generalization of the Hojman theorem. Secondly, the Noether conserved quantity deduced indirectly by the Lie symmetry is obtained. Thirdly, the adiabatic invariants of Lie symmetrical perturbation for disturbed EI-Nabulsi’s fractional Birkhoff system is achieved, including the disturbed El-Nabulsi-Birkhoff fractional equations, the determining equations of Lie symmetrical perturbation and adiabatic invariants for disturbed El-Nabulsi’s fractional Birkhoff system. Fourthly, adiabatic invariants and exact invariants under the special ifinitesimal transformations are presented. Finally, the Hojman-Urrutia problem is discussed to illustrate the application of these methods and results.
Starting Page	2481
Ending Page	2493
Page Count	13
File Format	PDF
ISSN	00207748
Journal	International Journal of Theoretical Physics
Volume Number	54
Issue Number	8
e-ISSN	15729575
Language	English
Publisher	Springer US
Publisher Date	2015-01-10
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Lie symmetry Hojman conserved quantity Noether conserved quantity Adiabatic invariants El-Nabulsi-Birkhoff fractional equation El-Nabulsi’s fractional Birkhoff system Physics Quantum Physics Elementary Particles, Quantum Field Theory Theoretical, Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mathematics

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

A New Type of Fractional Lie Symmetrical Method and its Applications

Conformal invariance, Noether symmetry, Lie symmetry and conserved quantities of Hamilton systems

A New Method of Fractional Dynamics, i.e., Fractional Mei Symmetrical Method for Finding Conserved Quantity, and its Applications to Physics

Fractional Lorentz-Dirac Model and Its Dynamical Behaviors

On the Dynamics of Dark Energy with Higher Time Derivatives of Hubble Parameter in El-Nabulsi Fractional Action Cosmology

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

Quantization of the Schwarzschild Black Hole: A Noether Symmetry Approach

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

Contracted Hamiltonian on Symmetric Space SU(3)/SU(2) and Conserved Quantities

Conserved Quantities and Adiabatic Invariants for El-Nabulsi’s Fractional Birkhoff System

Similar Documents

A New Type of Fractional Lie Symmetrical Method and its Applications

Conformal invariance, Noether symmetry, Lie symmetry and conserved quantities of Hamilton systems

A New Method of Fractional Dynamics, i.e., Fractional Mei Symmetrical Method for Finding Conserved Quantity, and its Applications to Physics

Fractional Lorentz-Dirac Model and Its Dynamical Behaviors

On the Dynamics of Dark Energy with Higher Time Derivatives of Hubble Parameter in El-Nabulsi Fractional Action Cosmology

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

Quantization of the Schwarzschild Black Hole: A Noether Symmetry Approach

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

Contracted Hamiltonian on Symmetric Space SU(3)/SU(2) and Conserved Quantities

Conserved Quantities and Adiabatic Invariants for El-Nabulsi’s Fractional Birkhoff System