
Accession Number : AD0287966
Title : LORENTZ'S PENDULUM PROBLEM
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : LITTLEWOOD,J.E.
Report Date : SEP 1962
Pagination or Media Count : 1
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 H(oo)  H(oo) = O( n) for every n . (Author)
Descriptors : *DIFFERENTIAL EQUATIONS, *PARTIAL DIFFERENTIAL EQUATIONS, *QUANTUM THEORY, TIME
Distribution Statement : APPROVED FOR PUBLIC RELEASE