Journal of Statistical Physics

, Volume 61, Issue 5, pp 1203–1222

Hamilton's equations for constrained dynamical systems

Authors

  • Simon W. de Leeuw
    • Laboratory for Physical ChemistryUniversity of Amsterdam
  • John W. Perram
    • Department of Mathematics and Computer ScienceOdense University
  • Henrik G. Petersen
    • Department of Mathematics and Computer ScienceOdense University
Articles

DOI: 10.1007/BF01014372

Cite this article as:
de Leeuw, S.W., Perram, J.W. & Petersen, H.G. J Stat Phys (1990) 61: 1203. doi:10.1007/BF01014372

Abstract

We derive expressions for the conjugate momenta and the Hamiltonian for classical dynamical systems subject to holonomic constraints. We give an algorithm for correcting deviations of the constraints arising in numerical solution of the equations of motion. We obtain an explicit expression for the momentum integral for constrained systems.

Key words

Constraint dynamicsHamiltonianmetric tensor

Copyright information

© Plenum Publishing Corporation 1990