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

Access to Document

10.1007/BF02722902

Cite this

@article{59be774cd9094a6b9dab5454cf5b5e5d,

title = "An attempt to construct quantum mechanics from Newton equations",

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.",

keywords = "PACS. 03.20. Classical mechanics of discrete systems: general mathematical aspects, PACS. 03.65.Ca Formalism",

author = "R. Hojman and S. Hojman",

year = "1985",

month = dec,

doi = "10.1007/BF02722902",

language = "English",

volume = "90",

pages = "143--160",

journal = "Il Nuovo Cimento B",

issn = "0369-3554",

publisher = "Editrice Compositori s.r.l.",

number = "2",

}

TY - JOUR

T1 - An attempt to construct quantum mechanics from Newton equations

AU - Hojman, R.

AU - Hojman, S.

PY - 1985/12

Y1 - 1985/12

N2 - 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.

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.

KW - PACS. 03.20. Classical mechanics of discrete systems: general mathematical aspects

KW - PACS. 03.65.Ca Formalism

UR - https://www.scopus.com/pages/publications/51649150963

U2 - 10.1007/BF02722902

DO - 10.1007/BF02722902

M3 - Article

AN - SCOPUS:51649150963

SN - 0369-3554

VL - 90

SP - 143

EP - 160

JO - Il Nuovo Cimento B

JF - Il Nuovo Cimento B

IS - 2

ER -

An attempt to construct quantum mechanics from Newton equations

Abstract

Keywords

Access to Document

Fingerprint

Cite this