Lettere al Nuovo Cimento (1971-1985)

, Volume 24, Issue 14, pp 509–512 | Cite as

On the algebra of certain matrices related to the zeros of Hermite polynomials

  • M. Bruschi


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  1. (1).
    F. Calogero:Lett. Nuovo Cimento,20, 251, 489 (1977).MathSciNetCrossRefGoogle Scholar
  2. (2).
    F. Calogero:Nuovo Cimento,43 B, 177 (1978).MathSciNetADSCrossRefGoogle Scholar
  3. (3).
    S. Ahmed:Lett. Nuovo Cimento,22, 367 (1978).MathSciNetCrossRefGoogle Scholar
  4. (4).
    S. Ahmed, M. Bruschi, F. Calogero, M. A. Olshanestky andA. M. Perelomov:Nuovo Cimento (in press).Google Scholar
  5. (5).
    Here, and always in the following, a prime appended to a sum indicates that the singular terms must be omitted; a prime appended to a function indicate differentiation.Google Scholar
  6. (6).
    A Calogero's conjecture is that the diophantine eigenvalues requirement (2) for a matrix draving the structure (1), witha priori arbitraryx j's implies that thex j's are, up to a translations the zeros ofH n (x). This conjecture has been verified fromN=2,n=3.Google Scholar
  7. (7).
    P. C. Sabatier:Lett. Nuovo Cimento,21, 41 (1978).MathSciNetCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica 1979

Authors and Affiliations

  • M. Bruschi
    • 1
    • 2
  1. 1.Istituto di Fisica dell'UniversitàRoma
  2. 2.Istituto Nazionale di Fisica NucleareSezione di RomaRoma

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