An attempt to construct quantum mechanics from Newton equations

R. Hojman, S. Hojman

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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 languageEnglish
Pages (from-to)143-160
Number of pages18
JournalIl Nuovo Cimento B
Issue number2
StatePublished - Dec 1985


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


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