Hamiltonian-Jacobi Treatment of damped harmonic oscillator based on employing the method of dual coordinates

Other Title(s)

معالجة الهزاز التوافقي المتخامد باستخدام طريقة هاميلتون-جاكوبيبعد مضاعفة درجات الحرية

Joint Authors

al-Butush, Muhammad Ahmad
al-Maayitah, Amal Farhan
Nawafilah, Khalid Isa

Source

Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series

Issue

Vol. 35, Issue 2 (31 Dec. 2020), pp.81-97, 17 p.

Publisher

Mutah University Deanship of Academic Research

Publication Date

2020-12-31

Country of Publication

Jordan

No. of Pages

17

Main Subjects

Physics

Abstract EN

In this paper, we provide the canonical approach for studying the damped harmonic oscillator based on the doubling of degrees of freedom approach.

Explicit expressions for Lagrangians of the elementary modes of the problem and characterising both forward and backward time propagations are given.

A Hamiltonian analysis showing the equivalence with the Lagrangian approach is also done.

To this end, the techniques of separation of variables were applied.

American Psychological Association (APA)

al-Butush, Muhammad Ahmad; al-Butush, Muhammad Ahmad& al-Maayitah, Amal Farhan& Nawafilah, Khalid Isa. 2020. Hamiltonian-Jacobi Treatment of damped harmonic oscillator based on employing the method of dual coordinates. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series،Vol. 35, no. 2, pp.81-97.
https://search.emarefa.net/detail/BIM-1278857

Modern Language Association (MLA)

al-Butush, Muhammad Ahmad…[et al.]. Hamiltonian-Jacobi Treatment of damped harmonic oscillator based on employing the method of dual coordinates. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series Vol. 35, no. 2 (2020), pp.81-97.
https://search.emarefa.net/detail/BIM-1278857

American Medical Association (AMA)

al-Butush, Muhammad Ahmad; al-Butush, Muhammad Ahmad& al-Maayitah, Amal Farhan& Nawafilah, Khalid Isa. Hamiltonian-Jacobi Treatment of damped harmonic oscillator based on employing the method of dual coordinates. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series. 2020. Vol. 35, no. 2, pp.81-97.
https://search.emarefa.net/detail/BIM-1278857

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 97

Record ID

BIM-1278857