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



Título del documento: Integrals of the motion and Green functions for time-dependent mass harmonic oscillators
Revista: Revista mexicana de física
Base de datos: PERIÓDICA
Número de sistema: 000426007
ISSN: 0035-001X
Autores: 1
Instituciones: 1Rajamangala University of Technology, Faculty of Science and Technology, Pathum Thani. Tailandia
Año:
Periodo: Ene-Feb
Volumen: 64
Número: 1
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés 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
Disciplinas: Física y astronomía
Palabras clave: Física,
Integrales del movimiento,
Función de Green,
Osciladores armónicos dependientes del tiempo
Keyword: Physics,
Integrals of the motion,
Green function,
Time-dependent harmonic oscillators
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