Geometry of the Kepler system in coherent states approach

Maciej Horowski; Anatol Odzijewicz

Annales de l'I.H.P. Physique théorique (1993)

  • Volume: 59, Issue: 1, page 69-89
  • ISSN: 0246-0211

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Horowski, Maciej, and Odzijewicz, Anatol. "Geometry of the Kepler system in coherent states approach." Annales de l'I.H.P. Physique théorique 59.1 (1993): 69-89. <http://eudml.org/doc/76615>.

@article{Horowski1993,
author = {Horowski, Maciej, Odzijewicz, Anatol},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Ehrenfest quantization; family of holomorphic embeddings; nondegenerate quadric; complex projective Hilbert space; Kepler system},
language = {eng},
number = {1},
pages = {69-89},
publisher = {Gauthier-Villars},
title = {Geometry of the Kepler system in coherent states approach},
url = {http://eudml.org/doc/76615},
volume = {59},
year = {1993},
}

TY - JOUR
AU - Horowski, Maciej
AU - Odzijewicz, Anatol
TI - Geometry of the Kepler system in coherent states approach
JO - Annales de l'I.H.P. Physique théorique
PY - 1993
PB - Gauthier-Villars
VL - 59
IS - 1
SP - 69
EP - 89
LA - eng
KW - Ehrenfest quantization; family of holomorphic embeddings; nondegenerate quadric; complex projective Hilbert space; Kepler system
UR - http://eudml.org/doc/76615
ER -

References

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  3. [G-H] P. Griffiths and J. Harris, Principles of Algebraic Geometry, New York, Wiley, 1978. Zbl0408.14001MR507725
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  8. [O2] A. Odzijewicz, Commun. Math. Phys., Vol. 150, 1992, pp. 385-413. Zbl0768.58022MR1194023
  9. [P-S] J. Parker and C.R. Stroud, Jr. Phys. Rev. Lett., Vol. 56, 1986, pp. 716-719. 
  10. [R] J.H. Rawnsley, Quart. J. Math. Oxford, (2), Vol. 28, 1977, pp. 403-415. Zbl0387.58002MR466649
  11. [S] J.-M. Souriau, Symposia Mathematica XIV, Academic Press, 1974. MR391646
  12. [Sch] E. Schrödinger, Naturwissenschaft, Vol. 14, 1926, pp. 664-666. JFM52.0967.01
  13. [W] A. Weyl, Variétés Kählériennes, Actualités scientifiques et industrielles, 1267, Paris, 1968. 
  14. [We] R.O. Wells, Differential Analysis on Complex Manifolds, Prentice-Hall, Inc., 1973. Zbl0262.32005MR515872
  15. [Y-S] J.A. Yeazell and C.R. Stroud, Jr. Phys. Rev. A., Vol. 35, No. 7, pp. 2806-2809. 

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