Accession Number:

AD0287966

Title:

LORENTZ'S PENDULUM PROBLEM

Descriptive Note:

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1962-09-01

Pagination or Media Count:

1.0

Abstract:

At the Solvay Congress in 1911 Lorentz raised the question How does a simple pendulum behave when the suspending thread is gradually shortened. This was re evant to the quantum theory of the time. For the equation x 2 x O, with subject to natural conditions governing its slow change, it was conjectured that the energy 2x2 x. 2 is nearly proportional to , or that H x2 x.2 is approximately constant. The paper confirms this, and also the further conjecture that Hoo - H-oo O- n for every n . Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE