Classical particle limit of non-relativistic quantum mechanics
Annales de l'I.H.P. Physique théorique (1984)
- Volume: 40, Issue: 4, page 417-440
- ISSN: 0246-0211
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topZucchini, Roberto. "Classical particle limit of non-relativistic quantum mechanics." Annales de l'I.H.P. Physique théorique 40.4 (1984): 417-440. <http://eudml.org/doc/76244>.
@article{Zucchini1984,
author = {Zucchini, Roberto},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {classical particle limit of non-relativistic quantum mechanics; unitary group; evolution of the quantum fluctuation around any classical phase orbit; mean values; position and velocity operators; Weyl operator; repulsive interactions},
language = {eng},
number = {4},
pages = {417-440},
publisher = {Gauthier-Villars},
title = {Classical particle limit of non-relativistic quantum mechanics},
url = {http://eudml.org/doc/76244},
volume = {40},
year = {1984},
}
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
PB - Gauthier-Villars
VL - 40
IS - 4
SP - 417
EP - 440
LA - eng
KW - classical particle limit of non-relativistic quantum mechanics; unitary group; evolution of the quantum fluctuation around any classical phase orbit; mean values; position and velocity operators; Weyl operator; repulsive interactions
UR - http://eudml.org/doc/76244
ER -
References
top- [1] E. Schrödinger, Ann. de Phys., t. 79, 1926, p. 489. JFM52.0966.01
- [2] W. Heisenberg, Die Physikalischen Principien der Quantentheorie. Leipzig : Hirzel, 1930. JFM56.0745.03
- [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. JFM53.0843.01
- [5] J.R. Klauder, J. Math. Phys., t. 4, 1963, p. 1058 ; t. 5, 1964, p. 177 ; t. 8, 1967, p. 2392. Zbl0127.18701MR152300
- [6] R.J. Glauber, Phys. Rev., t. 131, 1963, p. 2766. MR161585
- [7] L.D. Landau, E.M. Lifschitz, Quantum Mechanics, Non Relativistic Theory. Pergamon Press, 1965. Zbl0178.57901
- [8] V.P. Maslov, Théorie des perturbations et méthodes asymptotiques. Paris, Dunod, 1972. Zbl0247.47010
- [11] K. Hepp, Commun. math. Phys., t. 35, 1974, p. 265. MR332046
- [12] J. Chazarain, Comm. in Partial Differential Equations, t. 5 (6) 1980, p. 595-644. Zbl0437.70014MR578047
- [13] J. Ginibre, G. Velo, Commim. Math. Phys., t. 66, 1979, p. 37 ; Annals of Physics, t. 128, no 2, 1980, p. 243-285. Zbl0443.35067MR602197
- [14] M. Reed, B. Simon, Method of Modern Mathematical Physics, t. I, Functional Analysis. Academic Press, 1972. Zbl0242.46001
- [15] M. Reed, B. Simon, Method of Modern Mathematical Physics, t. II, Fourier Analysis. Selfadjointness. Academic Press, 1975. Zbl0308.47002
- [16] B. Simon, Quantum Mechanicsfor Hamiltonian defined as Quadratic Forms. Princeton, N. J., Princeton University Press, 1971. Zbl0232.47053
- [17] W.G. Faris, R. Lavine, Commim. math. Phys., t. 35, 1974, p. 39. Zbl0287.47004MR391794
- [18] T. Kato, J. Fac. Sci. Univ. Tokyo Sect. I, A Math., t. 17, 1970, p. 241. Zbl0222.47011MR279626
- [19] H. Leinfelder, C.G. Simader, Math. Zeits, t. 176, 1981, p. 1-19. Zbl0468.35038MR606167
- [20] J.R. Klauder, E.C.G. Sudarshan, Fundamentals of Quantum Optics. W. A. Benjamin Inc., New York, 1968. MR231591
- [21] H. Weyl, Theory of Groups and Quantum Mechanics. Dover, 1950. Zbl0041.56804
- [22] S. Mizohata, Theory of Partial Differential Equations. London, Cambridge University Press, 1973. Zbl0263.35001MR599580
- [23] G. Velo, private communication.
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