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Get Free AccessA 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.
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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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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