Quantization of the 1-D harmonic oscillator with variable mass using the operators $\hat v$ and $\hat p$

Gustavo V. López; Eric M. Reynaga

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arXiv · 1609.08383

Quantization of the 1-D harmonic oscillator with variable mass using the operators $\hat v$ and $\hat p$

Gustavo V. López·Eric M. Reynaga

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Abstract

For the 1-D harmonic oscillator with position depending variable mass, a Hamiltonian and constant of motion are given through a consistent approach. Then, the quantization of this system is carried out using the operator $\hat p$, for the Hamiltonian, and the operator $\hat v$ for the constant of motion. We find that the result of both quantizations brings about different quantum dynamics.

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Gustavo V. López, Eric M. Reynaga. 2016-09-27. Quantization of the 1-D harmonic oscillator with variable mass using the operators $\hat v$ and $\hat p$. https://arxiv.org/abs/1609.08383

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