The sufficient condition for an extremum in the classical action integral as an eigenvalue problem

M. S. Hussein; J. G. Pereira; V. Stojanoff; H. Takai

doi:10.1119/1.12018

The sufficient condition for an extremum in the classical action integral as an eigenvalue problem

M. S. Hussein, J. G. Pereira, V. Stojanoff, H. Takai

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

7 Scopus citations

Abstract

The sufficient condition for an extremum in the classical action integral is studied using Morse’s theory. Applications to the classical harmonic and anharmonic oscillators are made. The analogy of the calculations to the quantum-mechanical problems in one dimension is stressed.

Original language	English
Pages (from-to)	767-770
Number of pages	4
Journal	American Journal of Physics
Volume	48
Issue number	9
DOIs	https://doi.org/10.1119/1.12018
State	Published - Sep 1980
Externally published	Yes

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abstract = "The sufficient condition for an extremum in the classical action integral is studied using Morse{\textquoteright}s theory. Applications to the classical harmonic and anharmonic oscillators are made. The analogy of the calculations to the quantum-mechanical problems in one dimension is stressed.",

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JF - American Journal of Physics

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The sufficient condition for an extremum in the classical action integral as an eigenvalue problem

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