Classical limit of a quantum particle in an external Yang-Mills field

Ugo Moschella

Annales de l'I.H.P. Physique théorique (1989)

  • Volume: 51, Issue: 4, page 351-370
  • ISSN: 0246-0211

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Moschella, Ugo. "Classical limit of a quantum particle in an external Yang-Mills field." Annales de l'I.H.P. Physique théorique 51.4 (1989): 351-370. <http://eudml.org/doc/76472>.

@article{Moschella1989,
author = {Moschella, Ugo},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {classical limit of quantum particle; Yang-Mills field; connection; potential field; motion of particles},
language = {eng},
number = {4},
pages = {351-370},
publisher = {Gauthier-Villars},
title = {Classical limit of a quantum particle in an external Yang-Mills field},
url = {http://eudml.org/doc/76472},
volume = {51},
year = {1989},
}

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
PB - Gauthier-Villars
VL - 51
IS - 4
SP - 351
EP - 370
LA - eng
KW - classical limit of quantum particle; Yang-Mills field; connection; potential field; motion of particles
UR - http://eudml.org/doc/76472
ER -

References

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  1. [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. [2] C.N. Yang and R.L. Mills, Conservation of Isotopic Spin and Isotopic Gauge Invariance, Phys. Rev., Vol. 96, 1954, pp. 191-195. Zbl06538052MR65437
  3. [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. Zbl0547.58044MR727204
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  5. [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. Zbl0474.00023MR635121
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  7. [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. 
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  10. [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. Zbl0443.35067MR530915
  11. [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. Zbl0447.47026MR602197
  12. [12] R. Zucchini, Classical Particle Limit of Non-Relativistic Quantum Mechanics, Ann. Inst. H. Poincaré, Vol. 40, 1984, pp. 417-440. Zbl0599.46093MR757765
  13. [13] G. Klauder and E.C.G. Sudarshan, Fundamentals of Quantum Optics, W. A. Benjamin Inc., New York, 1968. MR231591
  14. [14] S. Perelomov, Coherent States for Arbitrary Lie Group, Commun. Math. Phys., Vol. 26, 1979, pp. 222-236. Zbl0243.22016MR363209
  15. [15] M. Reed and B. Simon, Methods of Modern Mathematical Physics, T. I, Functional analysis, Academic Press, New York, 1972. Zbl0242.46001
  16. [16] M. Reed and B. Simon, Methods of Modern Mathematical Physics, T. II, Fourier Analysis and Self-Adjointness, Academic Press, New York, 1975. Zbl0308.47002
  17. [17] B. Simon, Quantum Mechanics for Hamiltonians Defined as Quadratic Forms, P.U.P., Princeton, 1971. Zbl0232.47053MR455975
  18. [18] H. Leinfelder and C.G. Simader, Schrodinger Operators with Singular Magnetic Potentials, Math. Z., Vol. 176, 1981, pp. 1-19. Zbl0468.35038MR606167

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