A REDUCE program for the normalization of polynomial Hamiltonians

Published: 15-02-2005| Version 1 | DOI: 10.17632/6pjfmcyfzn.1
Yu.A. Ukolov,
N.A. Chekanov,
A.A. Gusev,
V.A. Rostovtsev,
Sergue Vinitsky,
Y. Uwano


Abstract The program LINA01 is proposed for the direct and the inverse normalization of Hamiltonian systems and for the calculation of formal integrals of motion of them. The calculations required in LINA01 are made on the basis of Lie canonical transformation method. The program package of LINA01 is written on REDUCE. Title of program: LINA01 Catalogue Id: ADUV_v1_0 Nature of problem The transformation bringing a given Hamiltonian function into the normal form (namely, the normalization) is one of the conventional methods for non-linear Hamiltonian systems [1-6]. Recently, beyond classical mechanics, the normal form method has been applied to quantization of chaotic Hamiltonian systems with the aim of finding quantum signature of chaos [7]. Besides those utilities, the normalization requires quite cumbersome algebraic calculations of polynomials, so that the computer algebra ... Versions of this program held in the CPC repository in Mendeley Data ADUV_v1_0; LINA01; 10.1016/j.cpc.2004.10.010 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)