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

In: Computer Algebra in Scientific Computing CASC’99

Author

Listed:
  • 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)

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.

Suggested Citation

  • Yoshio Uwano & Nikolai Chekanov & Vitaly Rostovtsev & Sergue Vinitsky, 1999. "On Normalization of a Class of Polynomial Hamiltonians: From Ordinary and Inverse Points of View," Springer Books, in: Victor G. Ganzha & Ernst W. Mayr & Evgenii V. Vorozhtsov (ed.), Computer Algebra in Scientific Computing CASC’99, pages 441-461, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-60218-4_34
    DOI: 10.1007/978-3-642-60218-4_34
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