Physical Review

The Physical Pendulum in Quantum Mechanics

E. U. Condon

Published May 1, 1928• 79 citations

Abstract

It is pointed out that the Mathieu functions of even order are the characteristic functions of the physical pendulum in the sense of Schr"odinger's wave mechanics. The relation of various properties of the functions, as known from purely analytical investigations of them, to the pendulum problem is discussed.

DOI: 10.1103/physrev.31.891

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