@article{AIHPA_1976__24_1_31_0,
author = {Voros, A.},
title = {Semi-classical approximations},
journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
pages = {31--90},
year = {1976},
publisher = {Gauthier-Villars},
volume = {24},
number = {1},
mrnumber = {420747},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1976__24_1_31_0/}
}
Voros, A. Semi-classical approximations. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 24 (1976) no. 1, pp. 31-90. https://www.numdam.org/item/AIHPA_1976__24_1_31_0/
[1] , Mécanique Quantique, Dunod, Paris, 1965. | MR
[2] et , Mécanique Quantique, Mir, Moscow.
[3] et , Mécanique, Mir, Moscow.
[4] , Found of Physics, t. 3, 1973, p. 185. | MR
[5] , Ann. Phys., t. 4, 1958, p. 180. | Zbl | MR
[6] , Comm. Pure Appl. Math., t. 13, 1960, p. 473. | Zbl | MR
[7] and , Phys. Rev., t. 131, 1963, p. 2789. | MR
[8] , Morse Theory . Princeton Univ. Press, 1963. | Zbl | MR
[9] , Phys. Rev., t. 40, 1932, p. 749 ; , J. Math. Phys., t. 8, 1967, p. 1097 ; , and , Ann. Inst. Fourier, t. 18, 1969, p. 343.
[10] , Théorie des Perturbations. Dunod, Paris, 1972 : this French translation (by J. Lascoux and R. Seneor) includes the articles of ref. [11]. | Zbl
[11] , Funct. Anal., t. 1, 1967, p. 1 ; , Funct. Anal., t. 3, 1969, p. 17 (in Russian, see ref. [10]).
[12] , Proc. « RCP 25 », vol. 18, Strasbourg University, publ. 1973.
[13] and , Problèmes Ergodiques de la Mécanique Classique. Gauthier-Villars, Paris, 1967. | Zbl | MR
[14] , Méthodes Nouvelles de la Mécanique Céleste. Gauthier-Villars, Paris, 1892; , Treatise on Analytical Dynamics. Cambridge, Univ. Press, 1959.
[15] , Comm. Math. Phys., t. 35, 1974, p. 265. | MR
[16] and , Ann. Phys., t. 60, 1970, p. 401 ; t. 63, 1971, p. 592; t. 64, 1971, p. 271 ; t. 69, 1972, p. 76. | Zbl
[17] and , Ann. Phys., t. 85, 1974, p. 514. | Zbl | MR
[18] , J. Math. Phys., t. 11, 1970, p. 1791 ; t. 12, 1971, p. 343, and references therein.
[19] and , Quantum Mechanics and Path Integrals. McGraw-Hill, 1965. | Zbl
[20] , Z. Phys., t. 132, 1952, p. 81 ; , Dynamical Theories of Brownian Motion. Princeton Univ. Press, 1972. | MR
[21] For instance: , Introduction to Phase Integral Methods. Methuen, London, 1967 ; and , JWKB approximation. North Holland, 1965.
[22] and , Rep. Prog. Phys., t. 35, 1972, p. 315.
[23] and , Foundations of Mechanics. Benjamin, 1967.
[24] , Structure des Systèmes Dynamiques. Dunod, Paris, 1970. | Zbl | MR
[25] , Géométrie Différentielle et Mécanique Analytique. Hermann, Paris, 1971. | MR
[26] and , Methods of Mathematical Physics. II. Interscience, 1962. | Zbl
[27] and , The Theory of Groups and Quantum Mechanics. Dover.
[28] , L'Enseignement Mathématique, t. 17, 1971, p. 99 ; , Acta Math., t. 127, 1971, p. 79 ; and , Acta Math., t. 128, 1972, p. 183. | MR
[29] , Introduction to S-Matrix Theory. ADT, Paris, 1973.
[30] and , in Constructive Field Theory. Springer Lecture Notes in Physics, t. 25, 1973. | MR
[31] , Distributions. Hermann, 1957 ; , Functional Analysis, chap. 1, Springer, 1968. | MR
[32] and , The Maslov-WKB Method for the Harmonic Oscillator. To appear in Arch. Rational Mechanics. | MR
[33] For instance: , Cargèse Lectures , vol. 5. Gordon and Breach, 1972.
[34] , Mathematical Foundations of Statistical Mechanics. Dover, 1949. | Zbl | MR
[35] , Ergodic Theory in Statistical Mechanics. Interscience, 1964. | MR
[36] , Funct. Anal. and Applications (Russian), t. 6 (II), 1972, p. 12. | Zbl
[37] , Izv. Akad. Nauk USSR (Math.), t. 37, 1973, p. 186 and 437 and references therein. | Zbl
[38] and , Ann. Phys., t. 9, 1960, p. 24. | Zbl
[39] , Celestial Mechanics. II. Benjamin, 1969. | Zbl
[40] , Proc. « RCP 25 », vol. 18. Strasbourg University, publ. 1973.
[41] and , IAS. Princeton preprint, 1974. | MR
[42] , Springer Lecture Notes in Mathematics, t. 170, 1970 ; , Thesis, Orsay, 1969. | MR
[43] For instance: Proc. of the 1974 Conference of Mathematical Physics. Warsaw, to be published ; E. ONOFRI et M. PAURI, J. Math. Phys., t. 13, 1972, p. 533 and references therein.
[44] , Compositio Math., t. 3, 1973 ; , C. R. Acad. Sci. Paris, t. 277, 1973, p. 595 ; and , Proc. Symp. Diff. Geometry, August 1973, Stanford.
[45] , Perturbation Theory. Springer, 1966, p. 443. | Zbl
[46] For instance: , Prog. Theor. Phys., t. 46, 1971, p. 1587.
[47] and , Generalized Functions. Academic Press, 1968. | Zbl
[48] For instance, , and , Saclay preprint DPh-T/74-18.
[49] and , Handbook of Mathematical Functions. Dover, 1970.
[50] , J. Phys. (Letters), B 6, 1973, L229.
[51] , Mathematical Foundations of Quantum Mechanics. Benjamin, 1963. | Zbl
[52] and , Usp. Mat. Nauk, t. 10-1, 1955, p. 3 and A. M. S. Translations, t. 8, 1958, p. 143. | Zbl
[53] , Proc. « Colloque Symplectique ». Aix-en-Provence, June 1974, to be published by the C. N. R. S., Paris.
[54] , Proc. « RCP 25 » of May 1975, Strasbourg University (to appear).





