@article{AIHPA_1984__40_4_417_0, author = {Zucchini, Roberto}, title = {Classical particle limit of non-relativistic quantum mechanics}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {417--440}, publisher = {Gauthier-Villars}, volume = {40}, number = {4}, year = {1984}, mrnumber = {757765}, zbl = {0599.46093}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1984__40_4_417_0/} }
TY - JOUR AU - Zucchini, Roberto TI - Classical particle limit of non-relativistic quantum mechanics JO - Annales de l'I.H.P. Physique théorique PY - 1984 SP - 417 EP - 440 VL - 40 IS - 4 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1984__40_4_417_0/ LA - en ID - AIHPA_1984__40_4_417_0 ER -
Zucchini, Roberto. Classical particle limit of non-relativistic quantum mechanics. Annales de l'I.H.P. Physique théorique, Tome 40 (1984) no. 4, pp. 417-440. http://www.numdam.org/item/AIHPA_1984__40_4_417_0/
[1] Ann. de Phys., t. 79, 1926, p. 489. | JFM
,[2] Die Physikalischen Principien der Quantentheorie. Leipzig : Hirzel, 1930. | JFM
,[3] Die allgemeinen Principien der Wellenmechanik, Handbuch der Physik, V. 1, Berlin, Göttingen, Heidelberg. Springer, 1958.
,[4] Z. Physik, t. 45, 1927, p. 455. | JFM
,[5] J. Math. Phys., t. 4, 1963, p. 1058 ; t. 5, 1964, p. 177 ; t. 8, 1967, p. 2392. | MR | Zbl
,[6] Phys. Rev., t. 131, 1963, p. 2766. | MR
,[7] Quantum Mechanics, Non Relativistic Theory. Pergamon Press, 1965. | Zbl
, ,[8] Théorie des perturbations et méthodes asymptotiques. Paris, Dunod, 1972. | Zbl
,[11] Commun. math. Phys., t. 35, 1974, p. 265. | MR
,[12] Comm. in Partial Differential Equations, t. 5 (6) 1980, p. 595-644. | MR | Zbl
,[13] Commim. Math. Phys., t. 66, 1979, p. 37 ; Annals of Physics, t. 128, no 2, 1980, p. 243-285. | MR | Zbl
, ,[14] Method of Modern Mathematical Physics, t. I, Functional Analysis. Academic Press, 1972. | Zbl
, ,[15] Method of Modern Mathematical Physics, t. II, Fourier Analysis. Selfadjointness. Academic Press, 1975. | Zbl
, ,[16] Quantum Mechanicsfor Hamiltonian defined as Quadratic Forms. Princeton, N. J., Princeton University Press, 1971. | Zbl
,[17] Commim. math. Phys., t. 35, 1974, p. 39. | MR | Zbl
, ,[18] J. Fac. Sci. Univ. Tokyo Sect. I, A Math., t. 17, 1970, p. 241. | MR | Zbl
,[19] Math. Zeits, t. 176, 1981, p. 1-19. | MR | Zbl
, ,[20] Fundamentals of Quantum Optics. W. A. Benjamin Inc., New York, 1968. | MR
, ,[21] Theory of Groups and Quantum Mechanics. Dover, 1950. | Zbl
,[22] Theory of Partial Differential Equations. London, Cambridge University Press, 1973. | MR | Zbl
,[23]
, private communication.