États liés de potentiels bisphériques et toroïdaux

M.-C. Dumont-Lepage; A. Ronveaux

Annales de l'I.H.P. Physique théorique (1979)

  • Volume: 30, Issue: 3, page 207-221
  • ISSN: 0246-0211

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Dumont-Lepage, M.-C., and Ronveaux, A.. "États liés de potentiels bisphériques et toroïdaux." Annales de l'I.H.P. Physique théorique 30.3 (1979): 207-221. <http://eudml.org/doc/76028>.

@article{Dumont1979,
author = {Dumont-Lepage, M.-C., Ronveaux, A.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {bound state; bispherical and toroidal potentials},
language = {fre},
number = {3},
pages = {207-221},
publisher = {Gauthier-Villars},
title = {États liés de potentiels bisphériques et toroïdaux},
url = {http://eudml.org/doc/76028},
volume = {30},
year = {1979},
}

TY - JOUR
AU - Dumont-Lepage, M.-C.
AU - Ronveaux, A.
TI - États liés de potentiels bisphériques et toroïdaux
JO - Annales de l'I.H.P. Physique théorique
PY - 1979
PB - Gauthier-Villars
VL - 30
IS - 3
SP - 207
EP - 221
LA - fre
KW - bound state; bispherical and toroidal potentials
UR - http://eudml.org/doc/76028
ER -

References

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  1. [1] A. Ronveaux, M.-C. Dumont-Lepage et R. Gérard, Potentiels sphéroïdaux pour l'équation de Schrœdinger. I. Caractérisation d'un état lié. Ann. Inst. Henri Poincaré, Section A, vol. 22, n° 4, 1976, p. 291-304. Zbl0313.35021MR381557
  2. [2] A. Ronveaux et M.-C. Dumont-Lepage, Potentiels sphéroïdaux pour l'équation de Schroedinger. II. Bornes sur le nombre d'états liés. Ann. Inst. Henri Poincaré, Section A, vol. 26, n° 4, 1977, p. 333-342. Zbl0362.35020MR446145
  3. [3] F. Hund, Theorie des Aufbaues der Materie, Verlagsgesellschaft, 1961. Zbl0098.22107MR127916
  4. [4] A. Ronveaux, Nuovo Cimento, t. 4, 1972, p. 839. 
  5. [5] R. Jost and A. Pais, Phys. Rev., t. 82, 1951, p. 840. Zbl0042.45206MR44404
  6. [6] F. Calogero, Journ. Math. Phys., t. 6, 1965, p. 161. Zbl0132.43505
  7. [7] F. Calogero, Comm. in Math. Phys., t. 1, 1965, p. 80. Zbl0128.21907MR181250
  8. [8] P.M. Morse and H. Feshbach, Methods in Theoretical Physics, McGraw-Hill, New York, 1953. Zbl0051.40603MR59774
  9. [9] A. Ronveaux, C. R., t. 266, série A, 1968, p. 306. MR231595
  10. [10] A. Ronveaux, Amer. Journ. Phys., vol. 40, 1972, p. 882-892. 
  11. [11] A. Ronveaux, M.-C. Dumont-Lepage, J. Habay, Bounds on the Number of Poles of the Solution of a General Riccati Equation. SIAM J. Math. Anal., vol. 8, n° 6, 1977, p. 1038-1056. Zbl0378.34006MR454185
  12. [12] L. Robin, Fonctions sphériqites de Legendre et fonctions sphéroïdales, t. 3, Gauthier–Villars, Paris, 1958. Zbl0088.05102MR101928
  13. [13] W. Magnus, F. Oberhettinger and R.P. Soni, Formula and theorems for the special functions of Mathematical Physics. Springer-Verlag, Berlin, 1966. Zbl0143.08502MR232968
  14. [14] E.W. Hobson, The theory of spherical and ellipsoidal harmonics. Chelsea-Publishing Co., New York, 1965. Zbl0004.21001MR64922
  15. [15] M. Abramowitz, I.A. Stegun, Handbook of Mathematical functions with formulas graphs and Mathematical tables. US. Government Printing Office, Washington, 9e ed., 1970. 
  16. [16] N.N. Lebedev, Special Functions and Applications. Prentice-Hall, 1965. Zbl0131.07002MR174795

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