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A Note about Certain Arbitrariness in the Solution of the Homological Equation in Deprit’s Method

Author

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  • Juan Félix San-Juan
  • Rosario López
  • Iván Pérez
  • Montserrat San-Martín

Abstract

Deprit’s method has been revisited in order to take advantage of certain arbitrariness arising when the inverse of the Lie operator is applied to obtain the generating function of the Lie transform. This arbitrariness is intrinsic to all perturbation techniques and can be used to demonstrate the equivalence among different perturbation methods, to remove terms from the generating function of the Lie transform, or to eliminate several angles simultaneously in the case of having a degenerate Hamiltonian.

Suggested Citation

  • Juan Félix San-Juan & Rosario López & Iván Pérez & Montserrat San-Martín, 2015. "A Note about Certain Arbitrariness in the Solution of the Homological Equation in Deprit’s Method," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-10, March.
    • Handle: RePEc:hin:jnlmpe:982857
    DOI: 10.1155/2015/982857
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