On Normalization of a Class of Polynomial Hamiltonians: From Ordinary and Inverse Points of View

Yoshio Uwano, Nikolai Chekanov, Vitaly Rostovtsev and Sergue Vinitsky
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Yoshio Uwano: Kyoto University, Department of Applied Mathematics and Physics
Nikolai Chekanov: Belgorod State University, Department of Mathematics
Vitaly Rostovtsev: Joint Institute for Nuclear Research, Laboratory of Computer Techniques and Automations
Sergue Vinitsky: Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics

A chapter in Computer Algebra in Scientific Computing CASC’99, 1999, pp 441-461 from Springer

Abstract: Abstract In this paper, the normalization of a class of polynomial Hamiltonians based on the symbolic computing is disscussed from both the ordinary and the inverse direction-points of view. The truncated three-particle Toda linear chain(3- TLC) and the regularized system of a planar hydrogen atom with the linear Stark effect (HLSE) are taken as examples to demonstrate the symbolic-computational approach to the ordinary and the inverse normalization problems.

Keywords: Inverse Problem; Homogeneous Polynomial; Canonical Transformation; 2pth Order; Negative Gaussian Curvature (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-60218-4_34

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DOI: 10.1007/978-3-642-60218-4_34

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