Position Dependent Mass Approach and Quantization for a Torus Lagrangian
Mathematical Physics
2016-07-25 v1 math.MP
Abstract
We have shown that a Lagrangian for a torus surface can yield second order nonlinear differential equations using the Euler-Lagrange formulation. It is seen that these second order nonlinear differential equations can be transformed into the nonlinear quadratic and Mathews-Lakshmanan equations using the position dependent mass approach developed by Mustafa for the classical systems. Then, we have applied the quantization procedure to the nonlinear quadratic and Mathews-Lakshmanan equations and found their exact solutions.
Cite
@article{arxiv.1607.06486,
title = {Position Dependent Mass Approach and Quantization for a Torus Lagrangian},
author = {Ozlem Yesiltas},
journal= {arXiv preprint arXiv:1607.06486},
year = {2016}
}