@article{AIHPA_1977__26_4_343_0,
author = {Voros, A.},
title = {Asymptotic $\hbar $-expansions of stationary quantum states},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {27},
year = {1977},
pages = {343-403},
mrnumber = {456138},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1977__26_4_343_0}
}
Voros, A. Asymptotic $\hbar $-expansions of stationary quantum states. Annales de l'I.H.P. Physique théorique, Tome 27 (1977) pp. 343-403. http://gdmltest.u-ga.fr/item/AIHPA_1977__26_4_343_0/
[1] , Mécanique Quantique. Dunod, Paris, 1965. | MR 129304
[2] -, Mécanique Quantique, Mir (Moscow).
[3] , Ann. Phys., t. 4, 1958, p. 180. | MR 99207 | Zbl 0085.43103
[4] , Théorie des Perturbations. Dunod, Paris, 1972 (translated by J. LASCOUX and R. SÉNÉOR, includes refs. [45] [46]).
[5] , , Methods of Mathematical Physics II. Interscience, 1962. | Zbl 0099.29504
[6] , Comm. Pure Appl. Math., t. 13, 1960, p. 473. | MR 115010 | Zbl 0098.29601
[7] , Acta Math., t. 127, 1971, p. 79; , , Acta Math., t. 128, 1972, p. 183. | MR 388463 | Zbl 0232.47055
[8] , Fourier Integral Operators. Courant Institute Press, 1973. | MR 451313 | Zbl 0272.47028
[9] , Fourier Integral Operators and Partial Differential Equations (Proc. 1974, Conference, Nice). Springer Lecture Notes in Mathematics, vol. 459, 1975. | MR 388171 | Zbl 0299.00021
[10] H. , Hyperfunctions and Pseudo-differential Equations. Springer Lecture Notes in Mathematics, vol. 287, 1973 ; , Hyperfunctions and | MR 388082 | Zbl 0253.00006
Theoretical Physics. Springer Lectures Notes in Mathematics, vol. 449, 1975 ; , , Ann. Inst. H. Poincaré, t. 18, 1973, p. 147 and Séminaire Goulaouic-Lions-Schwartz, Lecture n° 18, 1975. | Numdam
[11] Colloque International C. N. R. S., n° 237: Géométrie Symplectique et Physique Mathématique (Proc. 1974 Conference, Aix-en-Provence), C. N. R. S., Paris, 1975. | MR 424458
[12] , Comm. Pure Appl. Math., t. 27, 1974, p. 207. | MR 405513 | Zbl 0285.35010
[13] , , Geometric Asymptotics. A. M. S., to appear. | Zbl 0364.53011
[14] , Phys. Rev., t. 40, 1932, p. 749; , J. Math. Phys., t. 7, 1966, p. 66; et al., J. Math. Phys., t. 8, 1967, p. 1097.
[15] , , , Ann. Inst. Fourier, t. 18, 1969, p. 343. | Numdam | MR 267425 | Zbl 0176.45102
[16] , Physica, t. 12, 1946, p. 405 ; , Proc. Cambridge Phil. Soc., t. 45, 1949, p. 99; , The Poisson-Moyal Bracket. Harvard University, Physics Dept. preprint, 1976. | MR 18562
[17] , Comm. Math. Phys., t. 1, 1965, p. 14 ; , , Comm. Math. Phys., t. 2, 1966, p. 31. | MR 193983 | Zbl 0137.45601
[18] , , Proc. Roy. Soc., t. A 235, 1956, p. 419. | MR 78500 | Zbl 0071.22601
[19] , , Phys. Rev., t. 121, 1961, p. 1704 ; , , Ann. Phys., t. 63, 1971, p. 592. | MR 118376
[20] , , Quantum Mechanics and Path. Integrals. McGraw Hill, 1965; , Comm. Math. Phys., t. 28, 1972, p. 47 and t. 37, 1974, p. 63. | Zbl 0287.28006
[21] , , Ann. Phys., t. 60, 1970, p. 401 ; t. 64, 1971, p. 271 ; t. 69, 1972, p. 76. | Zbl 0207.40202
[22] , , Rep. Prog. Phys., t. 35, 1972, p. 315.
[23] , in [9] [11].
[24] , Comm. Math. Phys., t. 1, 1966, p. 374 and Structure des Systèmes Dynamiques. Dunod, Paris, 1970. | MR 207332
[25] , in Springer Lecture Notes in Mathematics, vol. 170, 1970. | MR 294568
[26] , , Mathematical Physics and Physical Mathematics. Proc., 1974, Conference, Warsaw, Reidel, 1976. | MR 550910 | Zbl 0327.00001
[27] , Ann. Inst. H. Poincaré, t. 24, 1976, p. 31. | Numdam | MR 420747
[28] , Compositio Math., t. 27, 1973, p. 159. | Numdam | MR 348798 | Zbl 0281.53036
[29] , Quasi-Modes sur les Variétés Riemanniennes. Preprint, Paris VII University. | MR 501196
[30] , , Inventiones Math., t. 29, 1975, p. 39. | MR 405514 | Zbl 0307.35071
[31] , J. Math. Phys., t. 12, 1971, p. 343 ; , in [11]; , , , Phys. Rev., t. D 10, 1974, p. 4114 and t. D 11, 1975, p. 3424.
[32] , in [11].
[33] , Symposia Math., t. 14, 1974, p. 139; , , - BERG, in [11].
[34] , Acad. Roy. Belg. Bull. Class. Sci., t. 37, 1951, p. 610. | MR 45059 | Zbl 0044.23103
[35] , Mat. Fys. Medd. Danske Vid. Selk., t. 31, 1959, p. 1; , Trans. A. M. S., t. 103, 1962, p. 149; , Acta Math., t. 111, 1963, p. 143. | MR 112626
[36] , , Mécanique, Mir. Moscow.
[37] , , Foundations of Mechanics. Benjamin, 1967. | Zbl 0158.42901
[38] , Mathematical Foundations of Quantum Mechanics. Benjamin, 1967.
[39] , Théorie des Distributions. Hermann, 1957. | MR 209834 | Zbl 0078.11003
[40] , , Methods of Modern Mathematical Physics. Academic Press, 1972 and 1975. | MR 493419
[41] , , Theory of Groups and Quantum Mechanics. Dover.
[42] , Funct. Anal. and Appl. (Russian), t. 4 (3), 1970, p. 37; , Comm. Pure Appl. Math., t. 27, 1974, p. 585. | Zbl 0223.35084
[43] , Hypoellipticity and Eigenvalue Asymptotics. Lecture Notes in Mathematics. Springer, 1975, p. 464. | MR 501202 | Zbl 0302.35002
[44] , Private communication.
[45] , Funct. Anal. and Appl. (russe), t. 1, 1967, p. 1 ; translated in [4].
[46] , Funct. Anal. and Appl. (russe), t. 3, 1969, p. 17; translated in [4].
[47] , , J. Math. Phys., t. 12, 1971, p. 1772. | MR 286385 | Zbl 0247.20051
[48] , Induced Representations of Groups and Quantum Mechanics. Benjamin, 1968. | MR 507212 | Zbl 0174.28101
[49] , In 4th Colloquium on Group Theoretical Methods in Physics. Univ. Nijmegen, 1975.
[50] , , Generalized Functions IV. Academic Press, 1964.
[51] , Lie Groups and Differential Geometry. Math. Soc. Japan, 1956. | MR 84166 | Zbl 0071.15402
[52] , J. E. T. P., t, 34, 1958, p. 58.
[53] , The Method of Second Quantization. Acad. Press, 1966. | MR 208930 | Zbl 0151.44001
[54] , Bull. A. M. S., t. 82, 1976, p. 548. | MR 407595 | Zbl 0331.46034
[55] , J. Math. Phys., t. 16, 1975, p. 724 and 2054; t. 17, 1976, p. 859. | Zbl 0296.46076
[56] , , Arch. Rational Mechanics, t. 61, 1976, p. 153. | MR 406147 | Zbl 0332.34053
[57] , Funct. Anal. and Appl. (russe), t. 6 (II), 1972, p. 12. | Zbl 0251.70012
[58] , Comptes Rendus « RCP 25 », vol. 22. Univ., Strasbourg, 1975.
[59] , , Problèmes Ergodiques de la Mécanique Classique. Gauthier-Villars, 1967. | MR 209436 | Zbl 0149.21704
[60] , Reduce User's Manual. Second Edition, University of Utah, 1973.
[61] , An Algebra of Pseudo-differential Operators..., J. Funct. Anal. (to appear). | MR 496088 | Zbl 0386.47031
[62] , Ph. D. Thesis, Université Paris-Sud (Orsay), May 1977.