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arXiv · 1607.06486

Position Dependent Mass Approach and Quantization for a Torus Lagrangian

Ozlem Yesiltas
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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.

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Ozlem Yesiltas. 2016-07-21. Position Dependent Mass Approach and Quantization for a Torus Lagrangian. https://arxiv.org/abs/1607.06486

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