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Quantum Mechanics as a Classical Theory X: Quantization in Generalized Coordinates

1996/01/03 by L. S. F. Olavo, Olavo, L. S. F.
Arts and Humanities · Physics and Astronomy · #FOS: Physical sciences #Philosophy and History of Science #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Relativity and Gravitational Theory #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9601002

10 pages of plain LaTex, no figures

arxiv created 1996/01/03 · openalex publication_date 1996/01/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this tenth paper of the series we aim at showing that our formalism, using the Wigner-Moyal Infinitesimal Transformation together with classical mechanics, endows us with the ways to quantize a system in any coordinate representation we wish. This result is necessary if one even think about making general relativistic extensions of the quantum formalism. Besides, physics shall not be dependent on the specific representation we use and this result is necessary to make quantum theory consistent and complete.

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