Bounded motion for classical systems with position-dependent mass

16th Symmetries in Science

Cruz Y Cruz, S.^1 ; Santiago-Cruz, C.^1

Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías, Avanzadas Del Instituto Politécnico Nacional, Av. Instituto Politécnico Nacional 2580, Col.-La-Laguna-Ticomán-C.-P.-México-D.F.

07340, Mexico^1

关键词: Classical systems;    Dynamical equation;    Factorization methods;    Gaussians;    Phase space trajectory;    Position-dependent mass;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/538/1/012006/pdf
DOI  :  10.1088/1742-6596/538/1/012006

来源: IOP

【 摘 要 】

In this work the dynamical equations for a system with position-dependent mass are considered. The phase space trajectories are constructed by means of the factorization method for classical systems. To illustrate how this formalism works the phase space trajectories for position-dependent mass oscillator, Scarf and Pöschl-Teller potentials with Gaussian and singular masses are presented.