GITA: A REDUCE program for the normalization of polynomial Hamiltonians

Published: 01-01-1995| Version 1 | DOI: 10.17632/wyk2pkjp4b.1
V. Basios,
N.A. Chekanov,
B.L. Markovski,
V.A. Rostovtsev,
S.I. Vinitsky


Abstract For a given polynomial Hamiltonian near an equilibrium point the program GITA calculates analytically the normal Birkhoff-Gustavson form in Cartesian as well as angle-action coordinates and the formal integral of the motion. These quantities are presented in the form of a truncated power series, the highest degree of which determines the degree of the approximation. The program performs the calculation of the modified normal Birkhoff-Gustavson form for the Hamiltonian restricted by the resona... Title of program: GITA Catalogue Id: ADBW_v1_0 Nature of problem The preparation of the normal Birkhoff-Gustavson form is the universal and consistent method of investigation of classical Hamiltonian systems [1-3]. Additionally in recent years the normal Birkhoff-Gustavson form has been used for the quantisation of classical trajectories with the aim of studying the quantum manifestation of the classical chaos in the quasi-classical approximation [4]. But the procedure of reducing the initial Hamiltonian to normal form [2] is very cumbersome, and one needs to ... Versions of this program held in the CPC repository in Mendeley Data ADBW_v1_0; GITA; 10.1016/0010-4655(95)00080-Y This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)