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A Comparison of Algorithms for the Normalization and Quantization of Polynomial Hamiltonians

✍ Scribed by A. A. Gusev; N. A. Chekanov; V. A. Rostovtsev; S. I. Vinitsky; Y. Uwano

Book ID
111603173
Publisher
SP MAIK Nauka/Interperiodica
Year
2004
Tongue
English
Weight
69 KB
Volume
30
Category
Article
ISSN
0361-7688

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## Abst~tct For a given polynomaal tlamiltonian near an equilibrium point the program GrrA calculates analytically the normal Birkhoff-Gustavson form in Cartesian as well as angle-action coordinates and the formal integral of the motion. These quantities ate presented in the form of a truncated po

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A time-periodic Hamiltonian system is considered. It is assumed that the system has an equilibrium position in whose neighbourhood the Hamiltonian is analytic. A constructive algorithm is proposed for computing the coefficients of the normal form of the Hamiltonian. The algorithm is based on a speci