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

Autor: Yoshio Uwano, Alexander Gusev, N. A. Chekanov, S. I. Vinitsky, V. A. Rostovtsev
Rok vydání: 2004
Předmět:
Zdroj: Programming and Computer Software. 30:75-82
ISSN: 0361-7688
DOI: 10.1023/b:pacs.0000021264.38623.52
Popis: Algorithms and programs for the normalization of polynomial Hamiltonians of classical mechanics by the Birkhoff–Gustavson and Deprit–Hori, as well as quasi-classical quantization procedures for normal forms, are compared. The algorithms and programs are represented in a universal pseudocode and implemented in the computer algebra systems REDUCE, MAPLE, and MATHEMATICA. Examples that illustrate the operation of these algorithms and programs for polynomial Hamiltonians of atomic systems in external electromagnetic fields are considered.
Databáze: OpenAIRE
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