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
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