Integrals of the motion and Green function for dual damped oscillators and coupled harmonic oscillators

Authors

  • Surait Pepore Department of Physics, Faculty of Science and Technology Rajamangala University of Technology Thanyaburi

DOI:

https://doi.org/10.31349/RevMexFis.64.150

Keywords:

Integrals of the motion, Green function, dual damped oscillators.

Abstract

The application for the integrals of the motion of a quantum system in deriving Green function or propagator is presented. The Green function is shown to be the eigenfunction of the integrals of the motion which described initial points of the system trajectory in the phase space. The exact expressions for the Green functions of the dual damped oscillators and the coupled harmonic oscillators are evaluated in co-ordinate representations. The relation between the integrals of the motion method and other methods such as Feynman path integral and Schwinger method are also presented.

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Published

2018-03-14

How to Cite

[1]
S. Pepore, “Integrals of the motion and Green function for dual damped oscillators and coupled harmonic oscillators”, Rev. Mex. Fís., vol. 64, no. 2 Mar-Apr, pp. 150–157, Mar. 2018.

Issue

Vol. 64 No. 2 Mar-Apr (2018): Revista Mexicana de Física

Section

07 Gravitation, Mathematical Physics and Field Theory

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.