Lettere al Nuovo Cimento (1971-1985)

, Volume 35, Issue 14, pp 433–436 | Cite as

Some mathematical considerations arising in the study of a degenerate harmonic oscillator

  • J. Quartieri


Cauchy’s product ofl-series provides us with a straightforward way of demonstrating the factorization of the partition function of a degenerate harmonic oscillator. When a particular case of that Cauchy’s algorithm is considered, it results possible to define some useful mathematical quantities: multiple addendials.


34.50 Inelastic scattering of atoms and molecules 


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  1. (1).
    R. J. Harrach andT. H. Einwhoner: Lawrence Livermore Laboratory Report UCRL-51399 (May 1973).Google Scholar
  2. (2).
    I. S. Gradshtein andI. M. Ryzhik:Table of Integrals, Series, and Products (New York, N. Y., 1965), p. 15.Google Scholar

Copyright information

© Società Italiana di Fisica 1982

Authors and Affiliations

  • J. Quartieri
    • 1
  1. 1.Istituto di Fisica della Facoltà di Ingegneria dell’ Università Piazzale TecchioNapoliItalia

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