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

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Lettere al Nuovo Cimento (1971-1985)

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References

  1. F. Calogero:Lett. Nuovo Cimento,20, 251, 489 (1977).

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  2. F. Calogero:Nuovo Cimento,43 B, 177 (1978).

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  3. S. Ahmed:Lett. Nuovo Cimento,22, 367 (1978).

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  4. S. Ahmed, M. Bruschi, F. Calogero, M. A. Olshanestky andA. M. Perelomov:Nuovo Cimento (in press).

  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.

  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.

  7. P. C. Sabatier:Lett. Nuovo Cimento,21, 41 (1978).

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Authors and Affiliations

  1. Istituto di Fisica dell'Università, 00185, Roma

    M. Bruschi

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Roma, 00185, Roma

    M. Bruschi

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  1. M. Bruschi
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Bruschi, M. On the algebra of certain matrices related to the zeros of Hermite polynomials. Lett. Nuovo Cimento 24, 509–512 (1979). https://doi.org/10.1007/BF02725456

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  • DOI: https://doi.org/10.1007/BF02725456

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