@article{AIHPA_1984__41_4_429_0, author = {Sirugue, M. and Sirugue-Collin, M. and Truman, Aubrey}, title = {Semi-classical approximation and microcanonical ensemble}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {41}, year = {1984}, pages = {429-444}, mrnumber = {777915}, zbl = {0592.58048}, language = {en}, url = {http://dml.mathdoc.fr/item/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) pp. 429-444. http://gdmltest.u-ga.fr/item/AIHPA_1984__41_4_429_0/
[1] Classical Mechanics, The Diffusion (heat). Equation and the Schrödinger Equation on a Riemanian Manifold. J. Math. Phys., t. 22, 1981, p. 2144-2166. | MR 641455 | Zbl 0485.70024
, ,[2] 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 729719 | Zbl 0511.60073
, ,[3] The Maslov-WKB Method for the (an) Harmonic Oscillator. Arch. Rat. Mech. An., t. 61, 1976, p. 153-173. | MR 406147 | Zbl 0332.34053
, ,[4] The Relations between Quantum Mechanics and Classical Mechanics: A Survey of some Mathematical Aspects. Preprint ZiF der Universität Bielefeld, 1983.
, ,[5] High Temperature Behaviour of Quantum Mechanical Thermal Functionals. Publ. R. I. M. S., Kyoto, t. 19, 1983, p. 355-365. | MR 700958 | Zbl 0528.60060
, , , ,[6] Mechanics. 2nd Ed., Pergamon Press, 1969.
, ,[7] Orthogonal Polynomials. 3rd Ed., Providence, R. J., 1967.
,[8] 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] Semiclassical Approximation in Quantum Mechanics. Reidel, Dordrecht, 1981 | MR 634377 | Zbl 0458.58001
and ,[9]
, Semi classical mechanics of regular and irregular motion, p. 171-271.[1] 287, 1977, p. 237-271. | MR 489464 | Zbl 0421.70020
, Philos. Trans. Roy. Soc., London, t.[2] 138, 1982, p. 115-154. | MR 653021 | Zbl 0502.70021
and , Ann. Phys., t.[3] 145, 1983, p. 100-115. | MR 696639 | Zbl 0517.70020
, Ann. Phys., t.