Classical particle limit of non-relativistic quantum mechanics

Roberto Zucchini

Annales de l'I.H.P. Physique théorique (1984)

  • Volume: 40, Issue: 4, page 417-440
  • ISSN: 0246-0211

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Zucchini, 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

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  12. [14] M. Reed, B. Simon, Method of Modern Mathematical Physics, t. I, Functional Analysis. Academic Press, 1972. Zbl0242.46001
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  14. [16] B. Simon, Quantum Mechanicsfor Hamiltonian defined as Quadratic Forms. Princeton, N. J., Princeton University Press, 1971. Zbl0232.47053
  15. [17] W.G. Faris, R. Lavine, Commim. math. Phys., t. 35, 1974, p. 39. Zbl0287.47004MR391794
  16. [18] T. Kato, J. Fac. Sci. Univ. Tokyo Sect. I, A Math., t. 17, 1970, p. 241. Zbl0222.47011MR279626
  17. [19] H. Leinfelder, C.G. Simader, Math. Zeits, t. 176, 1981, p. 1-19. Zbl0468.35038MR606167
  18. [20] J.R. Klauder, E.C.G. Sudarshan, Fundamentals of Quantum Optics. W. A. Benjamin Inc., New York, 1968. MR231591
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  21. [23] G. Velo, private communication. 

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