Solution of a One-Dimensional Three-Body Problem in Classical Mechanics

1972/03/01 by D. C. Khandekar, S. V. Lawande
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics

paper · doi: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.

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