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



Document title: Integrals of the motion and Green functions for time-dependent mass harmonic oscillators
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000426007
ISSN: 0035-001X
Authors: 1
Institutions: 1Rajamangala University of Technology, Faculty of Science and Technology, Pathum Thani. Tailandia
Year:
Season: Ene-Feb
Volumen: 64
Number: 1
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English 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
Disciplines: Física y astronomía
Keyword: Física,
Integrales del movimiento,
Función de Green,
Osciladores armónicos dependientes del tiempo
Keyword: Physics,
Integrals of the motion,
Green function,
Time-dependent harmonic oscillators
Full text: Texto completo (Ver HTML) Texto completo (Ver PDF)