Zucchini, Roberto
Classical particle limit of non-relativistic quantum mechanics
Annales de l'I.H.P. Physique théorique, Tome 40 (1984) no. 4 , p. 417-440
Zbl 0599.46093 | MR 757765 | 2 citations dans Numdam
URL stable : http://www.numdam.org/item?id=AIHPA_1984__40_4_417_0

Bibliographie

[1] E. Schrödinger, Ann. de Phys., t. 79, 1926, p. 489. JFM 52.0966.01

[2] W. Heisenberg, Die Physikalischen Principien der Quantentheorie. Leipzig : Hirzel, 1930. JFM 56.0745.03

[3] W. Pauli, Die allgemeinen Principien der Wellenmechanik, Handbuch der Physik, V. 1, Berlin, Göttingen, Heidelberg. Springer, 1958.

[4] P. Ehrenfest, Z. Physik, t. 45, 1927, p. 455. JFM 53.0843.01

[5] J.R. Klauder, J. Math. Phys., t. 4, 1963, p. 1058 ; t. 5, 1964, p. 177 ; t. 8, 1967, p. 2392. MR 152300 | Zbl 0127.18701

[6] R.J. Glauber, Phys. Rev., t. 131, 1963, p. 2766. MR 161585

[7] L.D. Landau, E.M. Lifschitz, Quantum Mechanics, Non Relativistic Theory. Pergamon Press, 1965. Zbl 0178.57901

[8] V.P. Maslov, Théorie des perturbations et méthodes asymptotiques. Paris, Dunod, 1972. Zbl 0247.47010

[11] K. Hepp, Commun. math. Phys., t. 35, 1974, p. 265. MR 332046

[12] J. Chazarain, Comm. in Partial Differential Equations, t. 5 (6) 1980, p. 595-644. MR 578047 | Zbl 0437.70014

[13] J. Ginibre, G. Velo, Commim. Math. Phys., t. 66, 1979, p. 37 ; Annals of Physics, t. 128, no 2, 1980, p. 243-285. MR 602197 | Zbl 0443.35067

[14] M. Reed, B. Simon, Method of Modern Mathematical Physics, t. I, Functional Analysis. Academic Press, 1972. Zbl 0242.46001

[15] M. Reed, B. Simon, Method of Modern Mathematical Physics, t. II, Fourier Analysis. Selfadjointness. Academic Press, 1975. Zbl 0308.47002

[16] B. Simon, Quantum Mechanicsfor Hamiltonian defined as Quadratic Forms. Princeton, N. J., Princeton University Press, 1971. Zbl 0232.47053

[17] W.G. Faris, R. Lavine, Commim. math. Phys., t. 35, 1974, p. 39. MR 391794 | Zbl 0287.47004

[18] T. Kato, J. Fac. Sci. Univ. Tokyo Sect. I, A Math., t. 17, 1970, p. 241. MR 279626 | Zbl 0222.47011

[19] H. Leinfelder, C.G. Simader, Math. Zeits, t. 176, 1981, p. 1-19. MR 606167 | Zbl 0468.35038

[20] J.R. Klauder, E.C.G. Sudarshan, Fundamentals of Quantum Optics. W. A. Benjamin Inc., New York, 1968. MR 231591

[21] H. Weyl, Theory of Groups and Quantum Mechanics. Dover, 1950. Zbl 0041.56804

[22] S. Mizohata, Theory of Partial Differential Equations. London, Cambridge University Press, 1973. MR 599580 | Zbl 0263.35001

[23] G. Velo, private communication.