An attempt to construct quantum mechanics from Newton equations

R. Hojman; S. Hojman

doi:10.1007/BF02722902

An attempt to construct quantum mechanics from Newton equations

R. Hojman, S. Hojman

Faculty of Liberal Arts

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We present one scheme for quantizing classical theories starting from their equations of motion. The procedure is such that the well-established quantum-mechanical results for conservative systems are recovered by construction. The method provides a unique way of quantizing classical systems irrespective of the nonexistence (or multiplicity) of Lagrangians for their equations of motion. We exhibit the quantization of the one-dimensional damped harmonic oscillator following this scheme.

Original language	English
Pages (from-to)	143-160
Number of pages	18
Journal	Il Nuovo Cimento B
Volume	90
Issue number	2
DOIs	https://doi.org/10.1007/BF02722902
State	Published - Dec 1985

Keywords

PACS. 03.20. Classical mechanics of discrete systems: general mathematical aspects
PACS. 03.65.Ca Formalism

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10.1007/BF02722902

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AB - We present one scheme for quantizing classical theories starting from their equations of motion. The procedure is such that the well-established quantum-mechanical results for conservative systems are recovered by construction. The method provides a unique way of quantizing classical systems irrespective of the nonexistence (or multiplicity) of Lagrangians for their equations of motion. We exhibit the quantization of the one-dimensional damped harmonic oscillator following this scheme.

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KW - PACS. 03.65.Ca Formalism

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An attempt to construct quantum mechanics from Newton equations

Abstract

Keywords

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