Semi-classical approximation and microcanonical ensemble
Annales de l'I.H.P. Physique théorique, Tome 41 (1984) no. 4, pp. 429-444.
@article{AIHPA_1984__41_4_429_0,
     author = {Sirugue, M. and Sirugue-Collin, M. and Truman, A.},
     title = {Semi-classical approximation and microcanonical ensemble},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {429--444},
     publisher = {Gauthier-Villars},
     volume = {41},
     number = {4},
     year = {1984},
     mrnumber = {777915},
     zbl = {0592.58048},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1984__41_4_429_0/}
}
TY  - JOUR
AU  - Sirugue, M.
AU  - Sirugue-Collin, M.
AU  - Truman, A.
TI  - Semi-classical approximation and microcanonical ensemble
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1984
SP  - 429
EP  - 444
VL  - 41
IS  - 4
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1984__41_4_429_0/
LA  - en
ID  - AIHPA_1984__41_4_429_0
ER  - 
%0 Journal Article
%A Sirugue, M.
%A Sirugue-Collin, M.
%A Truman, A.
%T Semi-classical approximation and microcanonical ensemble
%J Annales de l'I.H.P. Physique théorique
%D 1984
%P 429-444
%V 41
%N 4
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1984__41_4_429_0/
%G en
%F AIHPA_1984__41_4_429_0
Sirugue, M.; Sirugue-Collin, M.; Truman, A. Semi-classical approximation and microcanonical ensemble. Annales de l'I.H.P. Physique théorique, Tome 41 (1984) no. 4, pp. 429-444. http://archive.numdam.org/item/AIHPA_1984__41_4_429_0/

[1] K.D. Elworthy, A. Truman, Classical Mechanics, The Diffusion (heat). Equation and the Schrödinger Equation on a Riemanian Manifold. J. Math. Phys., t. 22, 1981, p. 2144-2166. | MR | Zbl

[2] K.D. Elworthy, A. Truman, The Diffusion Equation and Classical Mechanics: An Elementary Formula. In: Stochastic Processes in Quantum Theory and Statistical Physics. S. ALBEVERIO, Ph. COMBE, M. SIRUGUE-COLLIN, Eds, Lecture Notes in Physics, t. 173, Springer-Verlag, p. 136-146. | MR | Zbl

[3] J.P. Eckmann, R. Sénéor, The Maslov-WKB Method for the (an) Harmonic Oscillator. Arch. Rat. Mech. An., t. 61, 1976, p. 153-173. | MR | Zbl

[4] T. Arede, S. Albeverio, The Relations between Quantum Mechanics and Classical Mechanics: A Survey of some Mathematical Aspects. Preprint ZiF der Universität Bielefeld, 1983.

[5] Ph Combe, R. Rodriguez, M. Sirugue, M. Sirugue-Collin, High Temperature Behaviour of Quantum Mechanical Thermal Functionals. Publ. R. I. M. S., Kyoto, t. 19, 1983, p. 355-365. | MR | Zbl

[6] L.D. Landau, E.M. Lifshitz, Mechanics. 2nd Ed., Pergamon Press, 1969.

[7] G. Szegoe, Orthogonal Polynomials. 3rd Ed., Providence, R. J., 1967.

[8] H. Bateman, Tables of integral transforms. McGraw Hill Book Company, 1954. Lecture at Les Houches, 1981, session XXXVI. Comportement chaotique des systèmes déterministes. G. Ioos, R. H. G. Helleman et R. Stora Ed. North Holland, Amsterdam, 1983.

[10] V.P. Maslov and M.V. Fedoriuk, Semiclassical Approximation in Quantum Mechanics. Reidel, Dordrecht, 1981 | MR | Zbl

[9] M.V. Berry, Semi classical mechanics of regular and irregular motion, p. 171-271.

[1] M.V. Berry, Philos. Trans. Roy. Soc., London, t. 287, 1977, p. 237-271. | MR | Zbl

[2] A.M. Ozorio De Almeida and J.H. Hannay, Ann. Phys., t. 138, 1982, p. 115-154. | MR | Zbl

[3] A.M. Ozorio De Almeida, Ann. Phys., t. 145, 1983, p. 100-115. | MR | Zbl