On the semi-classical approximation of the solution of the Heisenberg equation with spin
Ichinose, Wataru
Annales de l'I.H.P. Physique théorique, Tome 67 (1997), p. 59-76 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1997-01-01
@article{AIHPA_1997__67_1_59_0,
     author = {Ichinose, Wataru},
     title = {On the semi-classical approximation of the solution of the Heisenberg equation with spin},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {67},
     year = {1997},
     pages = {59-76},
     mrnumber = {1463005},
     zbl = {0881.35133},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1997__67_1_59_0}
}

Ichinose, Wataru. On the semi-classical approximation of the solution of the Heisenberg equation with spin. Annales de l'I.H.P. Physique théorique, Tome 67 (1997) pp. 59-76. http://gdmltest.u-ga.fr/item/AIHPA_1997__67_1_59_0/

[1] H. Flanders, Differential forms with applications to the physical sciences, Academic, New York, 1963. | MR 162198 | Zbl 0112.32003

[2] K. Hepp, The classical limit for quantum mechanical correlation functions, Cojnriiun. Math. Phys., Vol. 35, 1974, pp. 265-277. | MR 332046

[3] L. Hörmander, The analysis of linear partial differential operators III, Springer, Berlin- Heidelberg-New York-Tokyo, 1985. | MR 781536 | Zbl 0601.35001

[4] W. Ichinose, A note on the existence and ħ-dependency of the solution of equations in quantum mechanics, Osaka J. Math., Vol. 32, 1995, pp. 327-345. | MR 1355746 | Zbl 0861.35089

[5] V.P. Maslov and M.V. Fedoriuk, Semi-classical approximation in quantum mechanics, Reidel, Dordrecht, 1981.

[6] A. Messiah, Mécanique quantique, Dunod, Paris, 1959. | MR 129304

[7] D. Robert, Autour de l'approximation semi-classique, Birkäuser, Boston, 1987. | MR 897108 | Zbl 0621.35001

[8] X.P. Wang, Approximation semi-classique de l'equation de Heisenberg, Commun. Math. Phys., Vol. 104, 1986, pp. 77-86. | MR 834482 | Zbl 0611.35085

[9] K. Yajima, Schrödinger evolution equations with magnetic fields, J. D'Analyse Math., Vol. 56, 1991, pp. 29-76. | MR 1243098 | Zbl 0739.35083

[10] R. Zucchini, Classical particle limit of non-relativistic quantum mechanics, Ann. Inst. Henri Pioncaré, Phys. Théor., Vol. 40, 1984, pp. 417-440. | Numdam | MR 757765 | Zbl 0599.46093