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Quantization of a one-dimensional time-dependent periodic system with Hamiltonian and constants of motion approaches

Gustavo Lopez
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Abstract

For a particle moving in a one-dimensional space an under a periodic external force, its quantization is study using the Hamiltonian (generalized linear momentum quantization) and constant of motion (velocity quantization) approaches. it is shown a great difference on the quantization of both approaches and the ambiguities arisen by using the quantization on the constants of motion.

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Gustavo Lopez. 2006-08-18. Quantization of a one-dimensional time-dependent periodic system with Hamiltonian and constants of motion approaches. https://arxiv.org/abs/quant-ph/0608149

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