Generalized Zernike or disc polynomials: An application in quantum optics

A. Torre

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13 Citations (Scopus)


An application of the "generalized Zernike or disc polynomials", recently introduced in the literature, is shown, resorting to the Lie algebra based investigation of the dynamics of quantum systems driven by two-mode interaction Hamiltonians. Further properties of the associated "disc functions" are deduced. Also, a generalization of the disc polynomials towards the Hahn polynomials is suggested. © 2007 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)622 - 644
Number of pages23
JournalJournal of Computational and Applied Mathematics
Issue number2
Publication statusPublished - 15 Dec 2008
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Computational Mathematics

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