Integrals of the motion and green functions for time-dependent mass harmonic oscillators

Authors

  • Surarit Pepore Department of Physics, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Rangsit-Nakornayok Road, Pathumthani 12110, Thailand.

DOI:

https://doi.org/10.31349/RevMexFis.64.30

Keywords:

Integrals of the motion, \ Green function, \ Time-dependent mass harmonic oscillators.

Abstract

The application of the integrals of the motion of a quantum system in deriving Green function or propagator is established. 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 explicit expressions for the Green functions of the damped harmonic oscillator, the harmonic oscillator with strongly pulsating
mass, and the harmonic oscillator with mass growing with time are obtained in co-ordinate representations. The connection between the
integrals of the motion method and other method such as Feynman path integral and Schwinger method are also discussed.

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Published

2018-01-30

How to Cite

[1]
S. Pepore, “Integrals of the motion and green functions for time-dependent mass harmonic oscillators”, Rev. Mex. Fís., vol. 64, no. 1 Jan-Feb, pp. 30–35, Jan. 2018.

Issue

Vol. 64 No. 1 Jan-Feb (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.