GITA: A REDUCE program for the normalization of polynomial Hamiltonians

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)