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Time scaling as an infinitesimal canonical transformation

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Abstract

We show that time scaling transformations for Hamiltonian systems are infinitesimal canonical transformations in a suitable extended phase space constructed from geometrical considerations. We compute its infinitesimal generating function in some examples: regularization and blow up in celestial mechanics, classical mechanical systems with homogeneous potentials and Scheifele theory of satellite motion.

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Author notes

  1. Luis A. Ibort

    Present address: Departamento de Matemática Aplicada, Universidad de Zaragoza, 50.009, Zaragoza, Spain

Authors and Affiliations

  1. Departamento de Fisica Teórica, Universidad de Zaragoza, 50.009, Zaragoza, Spain

    José F. Cariñena

  2. Department of Mathematics, University of California, 94720, Berkeley, California, U.S.A.

    Luis A. Ibort

  3. Departamento de Matemäticas, Universidad Autónoma Metropolitana, Iztapalapa, P.O. Box 55-543, México, D. F., México

    Ernesto A. Lacomba

Authors
  1. José F. Cariñena
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  2. Luis A. Ibort
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  3. Ernesto A. Lacomba
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Additional information

Research partially supported by CONACYT (México), Grant PCCBBNA 022553 and CICYT (Spain).

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Cariñena, J.F., Ibort, L.A. & Lacomba, E.A. Time scaling as an infinitesimal canonical transformation. Celestial Mechanics 42, 201–213 (1987). https://doi.org/10.1007/BF01232957

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  • DOI: https://doi.org/10.1007/BF01232957

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