LORENTZ'S PENDULUM PROBLEM

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)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1962
Accession Number
AD0287966

Entities

People

  • J.e. Littlewood

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Congress
  • Equations
  • Governments
  • Mathematics
  • National Governments
  • Pendulums
  • Quantum Mechanics

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Systems Analysis and Design

Technology Areas

  • Quantum Computing