A construction of quasi-modes using coherent states
Annales de l'I.H.P. Physique théorique, Tome 59 (1993) no. 4, pp. 357-381.
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     author = {Paul, Thierry and Uribe, Alejandro},
     title = {A construction of quasi-modes using coherent states},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {357--381},
     publisher = {Gauthier-Villars},
     volume = {59},
     number = {4},
     year = {1993},
     mrnumber = {1254977},
     zbl = {0808.35118},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1993__59_4_357_0/}
}
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Paul, Thierry; Uribe, Alejandro. A construction of quasi-modes using coherent states. Annales de l'I.H.P. Physique théorique, Tome 59 (1993) no. 4, pp. 357-381. http://www.numdam.org/item/AIHPA_1993__59_4_357_0/

[1] V. Bargman, On a Hilbert Space of Analytic Functions and an Associated Integral Transform, I., Comm. Pure Appl. Math., Vol. 14, 1961, pp. 187-214. | MR | Zbl

[2] V. Guillemin, Symplectic Spinors and Partial Differential Equations, Géométrie symplectique et Physique mathématique, J. M. SOURIAU Ed., C.N.R.S., 1974. | MR

[4] G.A. Hagedorn, Semiclassical Quantum Mechanics I., Comm. Math. Phys., Vol. 71, 1980, pp. 77-93. | MR

[4] L. Hormander, The Theory of Linear Differential Operators, Vol. 1, Springer Verlag.

[5] L.D. Landau and E.M. Lifshitz, Quantum Mechanics, Pergamon Press, 1977.

[6] R.G. Litteljohn, The Semiclassical Evolution of Wave Packets, Physics Reports, Vol. 138, 1986, pp. 193-291. | MR

[7] T. Paul and A. Uribe, In preparation.

[8] D. Robert, Autour de l'Approximation Semi-Classique, Birkhauser, 1987. | MR | Zbl

[9] M.A. Shubin, Pseudo-Differential Operators and Spectral Theory, Springer Verlag, 1987. | MR | Zbl

[10] A. Voros, Thèse, Université d'Orsay, 1977 (unpublished).

[11] A. Voros, W.K.B. in the Bargman representation, Phys. Rev. A., Vol. 40, 1989, pp. 6814-6825. | MR

[12] G. Foland, Harmonic Analysis on Phase Space, Annals of Mathematics Studies, Princeton University Press, Princeton N.J., 198 . | Zbl

[13] L. Boutet De Monvel and V. Guillemin, The Spectral Theory of Toeplitz Operators, Annals of Mathematics Studies 99, Princeton University Press, Princeton N.J., 1981. | MR | Zbl