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Integrability of the Wong Equations in the Class of Linear Integrals of Motion

  • ELEMENTARY PARTICLE PHYSICS AND FIELD THEORY
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Russian Physics Journal Aims and scope

The Wong equations, which describe the motion of a classical charged particle with isospin in an external gauge field, are considered. The structure of the Lie algebra of the linear integrals of motion of these equations is investigated. An algebraic condition for integrability of the Wong equations is formulated. Some examples are considered.

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References

  1. S. K. Wong, Il Nuovo Cimento, A65, 689–694 (1970).

    Article  ADS  Google Scholar 

  2. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, New York (1965).

    MATH  Google Scholar 

  3. D. V. Gal’tsov, Yu. V. Grats, and V. Ts. Zhukovskii, Textbook in Classical Fields, Izd. MGU, Moscow (1991).

    Google Scholar 

  4. V. G. Bagrov and A. S. Vishvstev, Motion of a Non-Abelian Particle in Color Fields, Preprint No. 14, Tomsk Affiliate of the Siberian Branch of the Academy of Sciences of the USSR (1987).

  5. A. W. Wipf, J. Phys., A18, No. 12, 2379 (1985).

    ADS  MathSciNet  Google Scholar 

  6. L. Gy. Feher, J. Phys., A19, No. 7, 1259–1270 (1986).

    ADS  MathSciNet  Google Scholar 

  7. S. Sternberg, Proc. Nat. Acad. Sci., 74, No. 12, 5253–5254 (1977).

    Article  ADS  MathSciNet  Google Scholar 

  8. A. Weinstein, Lett. Math. Phys., 2, No. 5, 417–420 (1978).

    Article  ADS  Google Scholar 

  9. J. W. Van Holten, Phys. Rev., D75, No. 2, 025027 (2007).

    ADS  Google Scholar 

  10. A. S. Mishchenko and A. T. Fomenko, Funkts. Anal. Prilozh., 12, No. 2, 46–56 (1978).

    Google Scholar 

  11. I. V. Gaishun, Completely Solvable Multidimensional Differential Equations [in Russian], Editorial URSS, Moscow (2004).

    Google Scholar 

  12. D. Alekseevsky, P. W. Michor, and W. Ruppert, arXiv preprint math/0005042. – 2000.

  13. A. A. Magazev, Russ. Phys. J., 57, No. 3, 312–320 (2014).

    Article  Google Scholar 

  14. T. T. Wu and C. N. Yang, Properties of Matter under Unusual Conditions, H. Mark and S. Fernbach, eds., Interscience Publ., New York (1969).

  15. J. A. Smoller et al., Commun. Math. Phys., 143, No. 1, 115–147 (1991).

    Article  ADS  MathSciNet  Google Scholar 

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Correspondence to A. A. Magazev.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 133–140, December, 2015.

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Magazev, A.A. Integrability of the Wong Equations in the Class of Linear Integrals of Motion. Russ Phys J 58, 1816–1825 (2016). https://doi.org/10.1007/s11182-016-0722-y

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  • DOI: https://doi.org/10.1007/s11182-016-0722-y

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