Solution of a One-Dimensional Three-Body Problem in Classical Mechanics
- 1 March 1972
- journal article
- Published by American Association of Physics Teachers (AAPT) in American Journal of Physics
- Vol. 40 (3) , 458-462
- https://doi.org/10.1119/1.1986573
Abstract
A one-dimensional problem of three equal particles interacting pairwise via a potential that is the sum of a quadratic and an inversely quadratic term is discussed from the point of view of classical mechanics. It is shown that the quantum energy spectrum can be obtained from the classical theory of action-angle variables and Bohr-Sommerfeld rules.Keywords
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