@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 -
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] Field and Particle Equations for the Classical Yang-Mills Field and Particles with Isotopic Spin, Nuovo Cimento, Vol. 65A, 1979, pp. 689-694.
,[2] Conservation of Isotopic Spin and Isotopic Gauge Invariance, Phys. Rev., Vol. 96, 1954, pp. 191-195. | MR
and ,[3] Classical Limit for Quantum Particles in External Yang-Mills Potentials, Comm. Math. Phys., Vol. 91, 1983, pp. 573-598. | MR | Zbl
, and ,[4] Large N Limits as Classical Mechanics, Rev. Mod. Phys., Vol. 54, 1982, pp. 407-435. | MR
,[5] 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
and ,[6] The Classical Limit for Quantum Mechanical Correlation Functions, Comm. Math. Phys., Vol. 35, 1974, pp. 265-277. | MR
,[7] Classical Description of a Particle Interacting with a Non-Abelian Gauge Field, Phys. Rev., Vol. D15, 1977, pp. 2308-2317.
, , and ,[8] Infinite Dimensional Hamiltonian Systems, Bibliopolis, Napoli, 1987. | MR | Zbl
,[9] Elements of the Theory of Representations, Springer, Berlin, Heidelberg, New York, 1976. | MR | Zbl
,[10] The Classical Field Limit of Scattering Theory for Non-Relativistic Bosons, Comm. Math. Phys., Vol. 66, 1979, pp. 37-76. | MR | Zbl
and ,[11] The Classical Field Limit of Nonrelativistic Bosons. I. Borel Summability for Bounded Potentials, Ann. Phys., Vol. 128, 1980, pp. 243-285. | MR | Zbl
and ,[12] Classical Particle Limit of Non-Relativistic Quantum Mechanics, Ann. Inst. H. Poincaré, Vol. 40, 1984, pp. 417-440. | EuDML | Numdam | MR | Zbl
,[13] Fundamentals of Quantum Optics, W. A. Benjamin Inc., New York, 1968. | MR
and ,[14] Coherent States for Arbitrary Lie Group, Commun. Math. Phys., Vol. 26, 1979, pp. 222-236. | MR | Zbl
,[15] Methods of Modern Mathematical Physics, T. I, Functional analysis, Academic Press, New York, 1972. | MR | Zbl
and ,[16] Methods of Modern Mathematical Physics, T. II, Fourier Analysis and Self-Adjointness, Academic Press, New York, 1975. | MR | Zbl
and ,[17] Quantum Mechanics for Hamiltonians Defined as Quadratic Forms, P.U.P., Princeton, 1971. | MR | Zbl
,[18] Schrodinger Operators with Singular Magnetic Potentials, Math. Z., Vol. 176, 1981, pp. 1-19. | EuDML | MR | Zbl
and ,