Zeros of Bessel functions by means of the Trefftz-Fichera orthogonal invariants method through the Schrödinger equation

Vincenzo Grecchi

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1977)

  • Volume: 63, Issue: 1-2, page 59-70
  • ISSN: 0392-7881

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Grecchi, Vincenzo. "Zeros of Bessel functions by means of the Trefftz-Fichera orthogonal invariants method through the Schrödinger equation." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 63.1-2 (1977): 59-70. <http://eudml.org/doc/289995>.

@article{Grecchi1977,
author = {Grecchi, Vincenzo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {8},
number = {1-2},
pages = {59-70},
publisher = {Accademia Nazionale dei Lincei},
title = {Zeros of Bessel functions by means of the Trefftz-Fichera orthogonal invariants method through the Schrödinger equation},
url = {http://eudml.org/doc/289995},
volume = {63},
year = {1977},
}

TY - JOUR
AU - Grecchi, Vincenzo
TI - Zeros of Bessel functions by means of the Trefftz-Fichera orthogonal invariants method through the Schrödinger equation
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1977/8//
PB - Accademia Nazionale dei Lincei
VL - 63
IS - 1-2
SP - 59
EP - 70
LA - eng
UR - http://eudml.org/doc/289995
ER -

References

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  1. WATSON, G. N. (1944) - A treatise on the theory of Bessel functions. II ed. Cambridge University Press., pp. 500 et seq. See the references quoted therein. MR10746
  2. KATO, T. (1966) - Perturbation theory for linear operators. Springer-Verlag. New York. Zbl0148.12601MR203473
  3. GOLDBERGER, M. L. and WATSON, K. M. (196-) - Collision theory. John Wiley and Sons, New York. Zbl1234.81004MR165848
  4. WEIDMANN, J. (1967) - Zur Spektraltheorie von Sturm-Liouville Operatoren. «Math. Zeitschr.», 98, 268-302. Zbl0168.12301MR213915DOI10.1007/BF01112407
  5. BARGMANN, V. (1952) - On the number of bound states in a central field of force. «Proc. Nat. Acad. Sci. U. S.», 38, 961. Zbl0048.21903MR54135
  6. CALOGERO, F. (1965) - Upper and lower limits for the number of bound states in a given central potential. «Commun. Math. Phys.», 1, 80. Zbl0128.21907MR181250
  7. SIMON, B. (1971) - Quantum mechanics of Hamiltonians defined as quadratic forms. Princeton University Press, Princeton, N. J.. Zbl0232.47053MR287842
  8. FICHERA, G. (1965) - Linear elliptic differential sistems and eigenvalue problems. Lecture Notes in Mathematics n. 8, Springer-Verlag. New York. Zbl0138.36104MR209639
  9. ROBERT, D. (1972) - Invariants orthogonaux pour certaines classes d'operateurs. «Annales des Mathématiques pures et appl.». Zbl0219.47017
  10. GRADSHTEIN, I. S. and RYZHIK, I. M. (1965) - Tables of Integrals, Series and Products, Academic Press, p. 981. MR669666
  11. AKHIEZER, N. I. (1965) - The classical moment problem, Oliver and Boyd, Edinburgh, p. 127. 

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