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  5. A variational principle and the classical and quantum mechanics of the damped harmonic oscillator

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Article
English
1986

A variational principle and the classical and quantum mechanics of the damped harmonic oscillator

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English
1986
American Journal of Physics
Vol 54 (3)
DOI: 10.1119/1.14644

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Alberto Patino Vanegas
Alberto Patino Vanegas

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L. Herrera
Luis A. Núñez
Alberto Patino Vanegas
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Abstract

A variational principle is presented, by means of which the equation of motion of the damped harmonic oscillator is found. Starting from this variational principle a systematic reformulation of the classical mechanics leads us to a Hamilton–Jacobi equation with an additional term, which is proportional to the action. The quantization of this Hamilton–Jacobi equation, following a method originally due to Schrödinger, gives the Langevin–Schrödinger equation.

How to cite this publication

L. Herrera, Luis A. Núñez, Alberto Patino Vanegas, Héctor Rago (1986). A variational principle and the classical and quantum mechanics of the damped harmonic oscillator. American Journal of Physics, 54(3), pp. 273-277, DOI: 10.1119/1.14644.

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Publication Details

Type

Article

Year

1986

Authors

4

Datasets

0

Total Files

0

Language

English

Journal

American Journal of Physics

DOI

10.1119/1.14644

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