A construction of quasi-modes using coherent states

Thierry Paul; Alejandro Uribe

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

  • Volume: 59, Issue: 4, page 357-381
  • ISSN: 0246-0211

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Paul, Thierry, and Uribe, Alejandro. "A construction of quasi-modes using coherent states." Annales de l'I.H.P. Physique théorique 59.4 (1993): 357-381. <http://eudml.org/doc/76626>.

@article{Paul1993,
author = {Paul, Thierry, Uribe, Alejandro},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Schrödinger equation modulo },
language = {eng},
number = {4},
pages = {357-381},
publisher = {Gauthier-Villars},
title = {A construction of quasi-modes using coherent states},
url = {http://eudml.org/doc/76626},
volume = {59},
year = {1993},
}

TY - JOUR
AU - Paul, Thierry
AU - Uribe, Alejandro
TI - A construction of quasi-modes using coherent states
JO - Annales de l'I.H.P. Physique théorique
PY - 1993
PB - Gauthier-Villars
VL - 59
IS - 4
SP - 357
EP - 381
LA - eng
KW - Schrödinger equation modulo
UR - http://eudml.org/doc/76626
ER -

References

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  2. [2] V. Guillemin, Symplectic Spinors and Partial Differential Equations, Géométrie symplectique et Physique mathématique, J. M. SOURIAU Ed., C.N.R.S., 1974. MR461591
  3. [4] G.A. Hagedorn, Semiclassical Quantum Mechanics I., Comm. Math. Phys., Vol. 71, 1980, pp. 77-93. MR556903
  4. [4] L. Hormander, The Theory of Linear Differential Operators, Vol. 1, Springer Verlag. Zbl0712.35001
  5. [5] L.D. Landau and E.M. Lifshitz, Quantum Mechanics, Pergamon Press, 1977. 
  6. [6] R.G. Litteljohn, The Semiclassical Evolution of Wave Packets, Physics Reports, Vol. 138, 1986, pp. 193-291. MR845963
  7. [7] T. Paul and A. Uribe, In preparation. 
  8. [8] D. Robert, Autour de l'Approximation Semi-Classique, Birkhauser, 1987. Zbl0621.35001MR897108
  9. [9] M.A. Shubin, Pseudo-Differential Operators and Spectral Theory, Springer Verlag, 1987. Zbl0616.47040MR883081
  10. [10] A. Voros, Thèse, Université d'Orsay, 1977 (unpublished). 
  11. [11] A. Voros, W.K.B. in the Bargman representation, Phys. Rev. A., Vol. 40, 1989, pp. 6814-6825. MR1031937
  12. [12] G. Foland, Harmonic Analysis on Phase Space, Annals of Mathematics Studies, Princeton University Press, Princeton N.J., 198 . Zbl0682.43001
  13. [13] L. Boutet De Monvel and V. Guillemin, The Spectral Theory of Toeplitz Operators, Annals of Mathematics Studies99, Princeton University Press, Princeton N.J., 1981. Zbl0469.47021MR620794

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