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

2016/09/27 by López, Gustavo V., Reynaga, Eric M.
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1609.08383

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 p, for the Hamiltonian, and the operator v for the constant of motion. We find that the result of both quantizations brings about different quantum dynamics.

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