Lie Algebraic Approach and Complex Invariant Coupled Oscillator Systems

Jasvinderpal Virdi

Lie Algebraic Approach and Complex Invariant Coupled Oscillator Systems

Jasvinderpal Singh Virdi * §

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§ Department of Physics, Panjab University, Chandigarh...

Lie Algebraic Approach and Complex Invariant Coupled Oscillator Systems

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Abstract

In classical mechanics, the system of coupled harmonic oscillators is shown to possess the symmetry applicable toa six-dimensional space in complex coordinates, twodimensional phase space consisting of two position and twomomentum variables. In search into the features of a dynamical system, with the possibility of its complex invariant,we explore this dynamical systems. Dynamical algebraic approach is used to study two-dimensional complex systems(coupled oscillator system) on the extended complex phase plane (ECPS). Scope and importance of invariants in theanalysis of complex trajectories for dynamical systems is discussed.

References

5 Cites in Article

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1. T. Lee (1954). Some special examples in renormalizable field theory. Phys. Rev, 95, 1329.
2. H. Van Dam,Y. Ng,L. Biedenharn A comment on fermionic tachyons and Poincre.
3. representations (1985). Construction of exact invariants of time-dependent linear nonholonomic dynamical systems.
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

How to Cite This Article

Jasvinderpal Singh Virdi. 2013. "Lie Algebraic Approach and Complex Invariant Coupled Oscillator Systems". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue 31 (F7)).

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GJSFR Volume 13 Issue 31 (F7)

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

complex hamiltonian complex invariant

Classification

GJSFR-F Classification AMS Classiï¬cation: 37K10

03D15

34C45

Submission ReceivedJuly 3, 2013
Peer Review Double Blind
Handling Editor
Accepted July 29, 2013
Published July 3, 2013

Version of record

v1.2

Issue date

July 3, 2013

Language

English

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Article Matrices

Total Score: 101

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Jasvinderpal Singh Virdi (PhD/Dr. count: 0)

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Publish Date: 2013 06, Thu

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Total Views: 1.7K

Total Downloads: 124

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