Geodesic
Hamiltonian Systems with Spin
Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 203-208

Voir la notice de l'article provenant de la source Cambridge University Press

In this note we give a brief exposition of the mathematical foundations of the theory of spin for both classical and quantum mechanical systems on oriented Riemannian manifolds. We shall use freely the notations and theory developed in Abraham [1] and Marsden [2, 3], From the physical point of view nothing new appears. The whole purpose of the note is to explain how the theory fits in the spirit of [1]. 
Marsden, J. E. Hamiltonian Systems with Spin. Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 203-208. doi: 10.4153/CMB-1969-022-3
@article{10_4153_CMB_1969_022_3,
     author = {Marsden, J. E.},
     title = {Hamiltonian {Systems} with {Spin}},
     journal = {Canadian mathematical bulletin},
     pages = {203--208},
     year = {1969},
     volume = {12},
     number = {2},
     doi = {10.4153/CMB-1969-022-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-022-3/}
}
TY  - JOUR
AU  - Marsden, J. E.
TI  - Hamiltonian Systems with Spin
JO  - Canadian mathematical bulletin
PY  - 1969
SP  - 203
EP  - 208
VL  - 12
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-022-3/
DO  - 10.4153/CMB-1969-022-3
ID  - 10_4153_CMB_1969_022_3
ER  - 
%0 Journal Article
%A Marsden, J. E.
%T Hamiltonian Systems with Spin
%J Canadian mathematical bulletin
%D 1969
%P 203-208
%V 12
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-022-3/
%R 10.4153/CMB-1969-022-3
%F 10_4153_CMB_1969_022_3

[1] 1. Abraham, R. and Marsden, J., Foundations of mechanics. (Benjamin, N.Y., 1967). Google Scholar

[2] 2. Marsden, J., Generalized Hamiltonian mechanics. Arch. for Rat. Mech. and Analysis 28, 5 (1968) 323–361 Google Scholar

[3] 3. Marsden, J., Hamiltonian one-parameter groups. Arch. for Rat. Mech. and Analysis 28, 5 (1968) 362–396. Google Scholar

[4] 4. Palais, R., Seminar on the Atiyah Singer Index Theorem. Annals of Math. Studies (Princeton, 1963). Google Scholar

[5] 5. Milnor, J., Spin structures on manifolds. l'ensign. math. (1963). Google Scholar

[6] 6. Milnor, J., Representation rings of some classical groups. Mimeographed. (Princeton University). Google Scholar

[7] 7. Cartan, E., Theory of spinors. (MIT Press, 1966). Google Scholar

[8] 8. Lang, S., Algebra. (Addison Wesley, 1965). Google Scholar

[9] 9. Greenberg, M., Lectures on algebraic topology. (Benjamin, N. Y., 1966). Google Scholar

[10] 10. Bacry, H., Classical Hamiltonian formalism for spin. (Argonne National Laboratory, Argonne, 111.). Google Scholar

[11] 11. Dankel, T., Thesis. (Princeton, 1968). Google Scholar

[12] 12. Marsden, J. and Abraham, R., Hamiltonian systems on Lie groups and hydrodynamics. Proc. Inst. of Global Analysis (Berkeley, 1969). Google Scholar

Cité par Sources :