Sự lệch lớn so với các quỹ đạo cổ điển. Các dòng Hamilton như là giới hạn cổ điển của các dòng lượng tử

Albeverio, S., Blanchard, Ph., Combe, Ph., Høegh-Krohn, R., Sirugue, M.: Local relativistic invariant flow for quantum fields. Commun. Math. Phys.90, 329–351 (1983) Combe, Ph., Guerra, F., Rodriguez, R., Sirugue, M., Sirugue-Collin, M.: Quantum dynamical time evolutions as stochastic flows in phase space. Proceeding of the VIIth conference of I.A.M.P., Boulder—Colorado (August 1983) Physica124A, 561–574 (1984) Donsker, M. D., Varadhan, S. R. S.: Asymptotic evaluation of certain markov expectations for large time. Commun. Pure Appl. Math. I,28, 1–47 (1975) II,29, 279–301 (1976); III,29, 389–461 (1976) Ventsel', A. D.: Rough limit theorem on large deviations for Markov stochastic processes I. Theory Probab. Appl.21, 227–242 (1976) Ventsel', A. D.: Rough limit theorem on large deviations for Markov stochastic processes II. Theory Probab. Appl.21, 499–512 (1976) Ventsel', A. D.: Rough limit theorem on large deviations for Markov stochastic processes III. Theory Probab. Appl.24, 675–692 (1979) Azencott, R.: Grandes déviations et applications. Cours de probabilité de Saint-Flour. Lecture Notes in Mathematics, Vol.774, Berlin, Heidelberg, New York: Springer 1978 Jona-Lasinio, G., Martinelli, F., Scoppola, E.: New approach to the semi-classical limit of quantum mechanics I. Multiple tunnelings in one dimension. Commun. Math. Phys.80, 223–254 (1981) Jona-Lasinio, G., Martinelli, F., Scoppola E.: The semi-classical limit of quantum mechanics: a qualitative theory via stochastic mechanics. Phys. Rep.77, 313–327 (1981) Azencott, R. Doss, H.: L'équation de Schrödinger quandℏ→0: une approche probabiliste. Stochastic aspects of classical and quantum systems proceedings Marseille. In: Lecture Notes in Mathematics, vol. 1109, pp. 1–17, Berlin, Heidelberg, New York: Springer 1985 Simon, B.: Instantons, double wells and large deviations. Bull. A.M.S. March 1983 De Angelis, G. F., Jona-Lasinio, G., Sirugue, M.: Probabilistic solutions of Pauli type equations. J. Phys. A.16, 2433–2444 (1983) Gihman, I. I., Skorohod, A. V.: Stochastic differential equations. Berlin, Heidelberg, New York: Springer 1972 Hepp, K.: The classical limit for quantum mechanical correlation functions. Commun. Math. Phys.35, 265–277 (1974) Fano, U.: Description of states in quantum mechanics by density matrix and operator techniques. Rev. Mod. Phys.29, 74–93 (1957) Weyl, H.: Gruppentheorie und Quantenmechanik, Leipzig: Hirzel, 1931 Gihman, I. I., Skohorod, A. V.: The theory of stochastic processes I, II and III. Berlin, Heidelberg, New York: Springer 1974 Bertrand, J., Gaveau, G.: Transformations canoniques et renormalisation pour certaines équations d'évolution. J. Funct. Anal.50, 81–99 (1983) Moyal, J. E.: Quantum mechanics as a statistical theory. Proc. Camb. Phil. Soc.45, 99–124 (1949) Bertrand, J., Rideau, G.: Stochastic jump processes in the phase space representation of quantum mechanics. Proceedings of the VIth conference of I.A.M.P., Berlin (1981). Lecture Notes in Physics, Vol.153, Berlin, Heidelberg, New York: Springer 1982; Stochastic processes and evolution of quantum observables. Preprint Paris VII, March 1983 Grossmann, A., Seiler, R.: Heat equation on phase space and the classical limit of quantum mechanical expectation values. Commun. Math. Phys.48, 195–197 (1976) Sirugue, M., Sirugue-Collin, M., Truman A.: Semi-classical approximation and microcanonical ensemble. Ann. Inst. Henri Poincaré41, 429–444 (1984)