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Group Theoretical Methods in Physics pp 567–574Cite as

Completely integrable N-body problems in three-dimension and their relativistic generalization

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Part of the book series: Lecture Notes in Physics ((LNP,volume 135))

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References

  1. For integrable many-body problems in one-dimension and related studies see P. D. Lax, Comm. Pure and Appl Math. 21, 467 (1968) F. Calogero, J. Math. Phys. 10,2197 (1969); 12,419 (1971); 15,1420 (1974); M. Toda, Progr. Theor. Phys. Suppl. 45,1974 (1970),J. Moser, Advances in Math. 16, 197 (1975), M. A. Olshanetsky, A. M. Perelomov, Invent. Math. 37,93 (1976), Lett. Math. Phys. 2, 7 1977); H. Airault, H. P. McKean, J. Moser, Comm. Pure and Appl. Math. 30, 95 (1977). B. Kostant, Advances in Math. 34, 195-338 (1980).

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  2. V. I. Arnold, Proof of a Theorem of A. N. Kolmogorov on the invariance of quasi-periodic Motions under small perturbations of the Hamiltonian, Russian Math. Surveys 18, 9–36 (1963) J. Moser, Nachr. Akad. Wiss. Göttinger, Math-Phys. K1. II a, 1–20 (1962).

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  3. A. 0. Barut, Phys. Rev. 133, B839 (1964) A. 0. Barut and A. Bohm, Phys. Rev. 139, B1107 (1965)

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  4. A. 0. Barut, Reports in Math. Phys. 11, 401 (1977)

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  5. H. Weyl, The Theory of Groups and Quantum Mechanics,(Dover, N.Y. 1950)

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  6. A. 0. Barut, in Non-compact Group in Particle Physics, Edit. Y. Chow, (W. A. Benjamin, N.Y. 1966) p. 1–22.

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  7. A. 0. Barut, in Groups, Systems and Many-Body Physics,(Edit. by P. Kramer and M. Dal Cin, Vieweg 1980), Ch. 6, p. 285–317.

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  8. cf. for example, A. 0. Barut and R. Raczka, Group Representations and Applications, Warsaw 1977.

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  9. R. Peterhop, Theory of Ionisation of Atoms by Electron Impact, Color. Ass. Univ. Press, Boulder, 1977.

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  10. A. 0. Barut and Y. Kitagawara, (to be published)

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Authors and Affiliations

  1. Department of Physics, The University of Colorado, 80309, Boulder, CO

    A. O. Barut

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  1. A. O. Barut
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Kurt Bernardo Wolf

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© 1980 Spriger-Verlag

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Barut, A.O. (1980). Completely integrable N-body problems in three-dimension and their relativistic generalization. In: Wolf, K.B. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 135. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-10271-X_389

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  • DOI: https://doi.org/10.1007/3-540-10271-X_389

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10271-7

  • Online ISBN: 978-3-540-38396-3

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