Geometric quantization of the MIC-Kepler problem via extension of the phase space

Ivailo M. Mladenov

Annales de l'I.H.P. Physique théorique (1989)

  • Volume: 50, Issue: 2, page 219-227
  • ISSN: 0246-0211

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Mladenov, Ivailo M.. "Geometric quantization of the MIC-Kepler problem via extension of the phase space." Annales de l'I.H.P. Physique théorique 50.2 (1989): 219-227. <http://eudml.org/doc/76445>.

@article{Mladenov1989,
author = {Mladenov, Ivailo M.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {geometric quantization scheme; extended phase space; modified Kepler problem; quantization of the magnetic charge; energy spectrum of the corresponding quantum problem},
language = {eng},
number = {2},
pages = {219-227},
publisher = {Gauthier-Villars},
title = {Geometric quantization of the MIC-Kepler problem via extension of the phase space},
url = {http://eudml.org/doc/76445},
volume = {50},
year = {1989},
}

TY - JOUR
AU - Mladenov, Ivailo M.
TI - Geometric quantization of the MIC-Kepler problem via extension of the phase space
JO - Annales de l'I.H.P. Physique théorique
PY - 1989
PB - Gauthier-Villars
VL - 50
IS - 2
SP - 219
EP - 227
LA - eng
KW - geometric quantization scheme; extended phase space; modified Kepler problem; quantization of the magnetic charge; energy spectrum of the corresponding quantum problem
UR - http://eudml.org/doc/76445
ER -

References

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  3. [3] J.M. Souriau, Structure des Systèmes Dynamiques, Dunod, Paris, 1970. Zbl0186.58001MR260238
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  8. [8] R. Abraham, J. Marsden, Foundation of Mechanics. Benjamin, Mass. 1978. 
  9. [9] G. Marmo, E. Saletan, A. Simoni, B. Vitale, Dynamical Systems. A Différential Geometric Approach to Symmetry and Reduction, Wiley, Chichester, 1985. Zbl0592.58031MR818988
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  11. [11] T. Iwai, Y. Uwano, The Four-Dimensional Conformal Kepler Problem Reduces to the Three-Dimensional Kepler Problem with a Centrifugal Potential and Dirac's Monopole Field. Classical Theory. J. Math. Phys., t. 27, 1986, p. 1523-1529. Zbl0599.70015MR843720
  12. [12] I. Mladenov, V. Tsanov, Geometric Quantisation of the MIC-Kepler Problem. J. Phys. A. Math. Gen., t. 20, 1987, p. 5865-5871. Zbl0658.58051MR939893
  13. [13] M. Kibler, T. Negadi, The Use of Nonbijective Canonical Transformations in Chemical Physics. Croatica Chem. Acta, t. 57, 1984, p. 1509-1523. 
  14. [14] L. Davtyan, L. Mardoyan, G. Pogosyan, A. Sissakian, V. Ter-Antonyan, Generalized KS Transformation: From Five-Dimensional Hydrogen Atom to EightDimensional Isotrope Oscillator. J. Phys. A. Math. Gen., t. 20, 1987, p. 6121-6125. MR939909
  15. [15] L. Bates, Ph.D. Thesis, University of Calgary, 1988. 
  16. [16] B. Cordani, L. Feher, P. Horvathy, Monopole Scattering Spectrum from Geometric Quantisation. J. Phys. A. Math. Gen., t. 21, 1988, p. 2835-2837. Zbl0672.58054MR953452

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