Classical limit of a quantum particle in an external Yang-Mills field
Annales de l'I.H.P. Physique théorique, Tome 51 (1989) no. 4, pp. 351-370.
@article{AIHPA_1989__51_4_351_0,
     author = {Moschella, Ugo},
     title = {Classical limit of a quantum particle in an external {Yang-Mills} field},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {351--370},
     publisher = {Gauthier-Villars},
     volume = {51},
     number = {4},
     year = {1989},
     mrnumber = {1034593},
     zbl = {0709.53065},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1989__51_4_351_0/}
}
TY  - JOUR
AU  - Moschella, Ugo
TI  - Classical limit of a quantum particle in an external Yang-Mills field
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1989
SP  - 351
EP  - 370
VL  - 51
IS  - 4
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPA_1989__51_4_351_0/
LA  - en
ID  - AIHPA_1989__51_4_351_0
ER  - 
%0 Journal Article
%A Moschella, Ugo
%T Classical limit of a quantum particle in an external Yang-Mills field
%J Annales de l'I.H.P. Physique théorique
%D 1989
%P 351-370
%V 51
%N 4
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPA_1989__51_4_351_0/
%G en
%F AIHPA_1989__51_4_351_0
Moschella, Ugo. Classical limit of a quantum particle in an external Yang-Mills field. Annales de l'I.H.P. Physique théorique, Tome 51 (1989) no. 4, pp. 351-370. http://www.numdam.org/item/AIHPA_1989__51_4_351_0/

[1] S. Wong, Field and Particle Equations for the Classical Yang-Mills Field and Particles with Isotopic Spin, Nuovo Cimento, Vol. 65A, 1979, pp. 689-694.

[2] C.N. Yang and R.L. Mills, Conservation of Isotopic Spin and Isotopic Gauge Invariance, Phys. Rev., Vol. 96, 1954, pp. 191-195. | MR

[3] H. Hogreve, J. Potthof and R. Schrader, Classical Limit for Quantum Particles in External Yang-Mills Potentials, Comm. Math. Phys., Vol. 91, 1983, pp. 573-598. | MR | Zbl

[4] L. Yaffe, Large N Limits as Classical Mechanics, Rev. Mod. Phys., Vol. 54, 1982, pp. 407-435. | MR

[5] L.C. Biedenharn and J.D. Louck, Angular Momentum in Quantum Physics: Theory and Applications, in: Encyclopedia of Mathematics, G. C. ROTA Ed., T. 8, Addison-Wesley Publ. Co., Reading Mass., 1981. | MR | Zbl

[6] K. Hepp, The Classical Limit for Quantum Mechanical Correlation Functions, Comm. Math. Phys., Vol. 35, 1974, pp. 265-277. | MR

[7] A.P. Balachandran, P. Salomonson, B.S. Skagerstam and J.O. Winneberg, Classical Description of a Particle Interacting with a Non-Abelian Gauge Field, Phys. Rev., Vol. D15, 1977, pp. 2308-2317.

[8] R. Schmid, Infinite Dimensional Hamiltonian Systems, Bibliopolis, Napoli, 1987. | MR | Zbl

[9] A.A. Kirillov, Elements of the Theory of Representations, Springer, Berlin, Heidelberg, New York, 1976. | MR | Zbl

[10] J. Ginibre and G. Velo, The Classical Field Limit of Scattering Theory for Non-Relativistic Bosons, Comm. Math. Phys., Vol. 66, 1979, pp. 37-76. | MR | Zbl

[11] J. Ginibre and G. Velo, The Classical Field Limit of Nonrelativistic Bosons. I. Borel Summability for Bounded Potentials, Ann. Phys., Vol. 128, 1980, pp. 243-285. | MR | Zbl

[12] R. Zucchini, Classical Particle Limit of Non-Relativistic Quantum Mechanics, Ann. Inst. H. Poincaré, Vol. 40, 1984, pp. 417-440. | EuDML | Numdam | MR | Zbl

[13] G. Klauder and E.C.G. Sudarshan, Fundamentals of Quantum Optics, W. A. Benjamin Inc., New York, 1968. | MR

[14] S. Perelomov, Coherent States for Arbitrary Lie Group, Commun. Math. Phys., Vol. 26, 1979, pp. 222-236. | MR | Zbl

[15] M. Reed and B. Simon, Methods of Modern Mathematical Physics, T. I, Functional analysis, Academic Press, New York, 1972. | MR | Zbl

[16] M. Reed and B. Simon, Methods of Modern Mathematical Physics, T. II, Fourier Analysis and Self-Adjointness, Academic Press, New York, 1975. | MR | Zbl

[17] B. Simon, Quantum Mechanics for Hamiltonians Defined as Quadratic Forms, P.U.P., Princeton, 1971. | MR | Zbl

[18] H. Leinfelder and C.G. Simader, Schrodinger Operators with Singular Magnetic Potentials, Math. Z., Vol. 176, 1981, pp. 1-19. | EuDML | MR | Zbl