Equilibrium configurations and small oscillations of some dynamical systems

A. M. Perelomov

Annales de l'I.H.P. Physique théorique (1978)

  • Volume: 28, Issue: 4, page 407-415
  • ISSN: 0246-0211

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Perelomov, A. M.. "Equilibrium configurations and small oscillations of some dynamical systems." Annales de l'I.H.P. Physique théorique 28.4 (1978): 407-415. <http://eudml.org/doc/75989>.

@article{Perelomov1978,
author = {Perelomov, A. M.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {small oscillations; dynamical systems; equilibrium configurations},
language = {eng},
number = {4},
pages = {407-415},
publisher = {Gauthier-Villars},
title = {Equilibrium configurations and small oscillations of some dynamical systems},
url = {http://eudml.org/doc/75989},
volume = {28},
year = {1978},
}

TY - JOUR
AU - Perelomov, A. M.
TI - Equilibrium configurations and small oscillations of some dynamical systems
JO - Annales de l'I.H.P. Physique théorique
PY - 1978
PB - Gauthier-Villars
VL - 28
IS - 4
SP - 407
EP - 415
LA - eng
KW - small oscillations; dynamical systems; equilibrium configurations
UR - http://eudml.org/doc/75989
ER -

References

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  1. [1] F. Calogero, Equilibrium Configuration of the One-Dimensional n-Body Problem with Quadratic and Inversely Quadratic Pair Potentials. Lett., Nuovo Cimento, t. 20, 1978, p. 251. MR483849
  2. [2] T.J. Stieltjes, Comptes Rendus, t. 100, 1885, p. 439, 620. JFM17.0062.01
  3. [3] A. Erdelyi (ed.), Higher Transcendental Functions, McGraw-Hill, New York, 1953, v. 2. Zbl0052.29502
  4. [4] M.A. Olshanetsky, A.M. Perelomov, Invent. Math., t. 37, 1976, p. 93. Zbl0342.58017MR426053
  5. [5] M.A. Olshanetsky, A.M. Perelomov, Quantum systems connected with root systems and radial parts of Laplace operators. Functional Analysis and Appl. t. 12, 1978, n° 2, p. 60. Zbl0407.43012MR498899
  6. [6] F. Calogero, Lett. N. C., t. 19, 1977, p. 505 ; Nuovo Cim., B (in press). 
  7. [7] N. Bourbaki, Groupes et algebras de Lie, Chapitres 4, 5 et 6, Hermann, 1969. Zbl0186.33001
  8. [8] A.M. Perelomov, preprint ITEP No 27, 1976. MR650256
  9. M.A. Olshanetsky, A.M. Perelomov, Lett. Math. Phys., t. 1, 1976, p. 187. Zbl0343.70010

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