On the semi-classical approximation of the solution of the Heisenberg equation with spin

Wataru Ichinose

Annales de l'I.H.P. Physique théorique (1997)

  • Volume: 67, Issue: 1, page 59-76
  • ISSN: 0246-0211

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Ichinose, Wataru. "On the semi-classical approximation of the solution of the Heisenberg equation with spin." Annales de l'I.H.P. Physique théorique 67.1 (1997): 59-76. <http://eudml.org/doc/76762>.

@article{Ichinose1997,
author = {Ichinose, Wataru},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Schrödinger equation; Heisenberg picture},
language = {eng},
number = {1},
pages = {59-76},
publisher = {Gauthier-Villars},
title = {On the semi-classical approximation of the solution of the Heisenberg equation with spin},
url = {http://eudml.org/doc/76762},
volume = {67},
year = {1997},
}

TY - JOUR
AU - Ichinose, Wataru
TI - On the semi-classical approximation of the solution of the Heisenberg equation with spin
JO - Annales de l'I.H.P. Physique théorique
PY - 1997
PB - Gauthier-Villars
VL - 67
IS - 1
SP - 59
EP - 76
LA - eng
KW - Schrödinger equation; Heisenberg picture
UR - http://eudml.org/doc/76762
ER -

References

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  2. [2] K. Hepp, The classical limit for quantum mechanical correlation functions, Cojnriiun. Math. Phys., Vol. 35, 1974, pp. 265-277. MR332046
  3. [3] L. Hörmander, The analysis of linear partial differential operators III, Springer, Berlin- Heidelberg-New York-Tokyo, 1985. Zbl0601.35001MR781536
  4. [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. Zbl0861.35089MR1355746
  5. [5] V.P. Maslov and M.V. Fedoriuk, Semi-classical approximation in quantum mechanics, Reidel, Dordrecht, 1981. 
  6. [6] A. Messiah, Mécanique quantique, Dunod, Paris, 1959. MR129304
  7. [7] D. Robert, Autour de l'approximation semi-classique, Birkäuser, Boston, 1987. Zbl0621.35001MR897108
  8. [8] X.P. Wang, Approximation semi-classique de l'equation de Heisenberg, Commun. Math. Phys., Vol. 104, 1986, pp. 77-86. Zbl0611.35085MR834482
  9. [9] K. Yajima, Schrödinger evolution equations with magnetic fields, J. D'Analyse Math., Vol. 56, 1991, pp. 29-76. Zbl0739.35083MR1243098
  10. [10] R. Zucchini, Classical particle limit of non-relativistic quantum mechanics, Ann. Inst. Henri Pioncaré, Phys. Théor., Vol. 40, 1984, pp. 417-440. Zbl0599.46093MR757765

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