References
G. A. Baker:Phys. Rev.,103, 1119 (1956);H. V. McIntosh:Am. Journ. Phys.,27, 620 (1959);V. A. Dulock andH. V. McIntosh:Am. Journ. Phys.,32, 109 (1964);L. C. Biedenharn:Phys. Rev.,126, 845 (1962);L. C. Biedenharn andN. V. V. J. Swamy:Phys. Rev.,133, B 1353 (1964);N. Mukunda, L. O’Raifertaigh andE. C. G. Sudarshan:Phys. Rev. Lett.,15, 1041 (1965);E. C. G. Sudarshan, N. Mukunda andL. O’Raifertaigh:Phys. Lett.,19, 322 (1965);D. M. Fradkin:Am. Journ. Phys.,33, 207 (1965);H. Bacry:Nuovo Cimento,41, 222 (1966);H. Bacry andJ. L. Richard: Université de Marscille preprint (1966);M. Bander andC. Itzykson:Rev. Mod. Phys.,38, 330, 346 (1966);M. Y. Han: Pittsburgh University preprint (1966);R. H. Pratt andT. F. Jordan: Pittsburgh University preprint (1966);O. W. Greenberg: Chicago University preprints COO-264-302/317 (1966);G. Cicogna: Pisa preprint (1966);B. Vitale:Lecture Notes at the Escuela Latino Americana de Fisica, Caracas (1966), andLecture Notes at the Institute for Mathematical Science, Madras (1966);A. Simoni, B. Vitale andF. Zaccaria: CERN preprint 67/272/5-TH, 754 (1967).
L. Van Hove:Mem. Acad. Roy. Belg. Cl. Sci.,6, 26 (1951);U. Uhlhorn:Ark. f. Fys.,11, 87 (1956);17, 193 (1960);G. Lugarini andM. Pauri:Ann. of Phys.,38, 299 (1966);H. Hermann:Lie Groups for Physicists (New York, 1966);D. Shale:Trans. Am. Math. Soc.,193, 149 (1962).
L. D. Landau andE. M. Lifshitz:Mechanics (London, 1960).
See for instanceE. T. Whittaker:A Treatise on the Analytical Dynamics (New York, 1944).
A. Wintner:The Analytical Foundations of Celestial Mechanics (Princeton, 1951).
V. I. Arnold andA. Avez:Problèmes ergodiques de la méc nique classique (Paris, 1967).
M. Pauri andG. M. Prosperi:Journ. Math. Phys.,7, 366 (1966);Canonical realizations of the rotation group, Canonical realizations of the Galilei group, to be published inJourn. Math. Phys.
D. M. Fradkin: Wayne University preprint (1966);N. Mukunda: Syracuse University preprints, NYO 3399-81/82 (1966);J. Rosen: Brown University preprints, NYO 2262TA-138 (1966).
L. Bianchi:Lezioni sulla teoria dei gruppi continui finiti di trasformazioni (Pisa, 1918).
V. Fock:Zeits. Phys.,98, 145 (1935);V. Bargmann:Zeits. Phys.,99, 576 (1936);J. M. Jauch andE. Hill:Phys. Rev.,57, 641 (1940);A. Sàenz: Michigan University Thesis (1949);H. Bacry:Nuovo Cimento,41 A, 222 (1966); and the other work quoted in (1).
A. Sommerfeld:Atomic Structure and Spectral Lines (New York 1923).
M.Y. Han andP. Stehle: Pittsburgh University preprints (1966).
G. Racah:Group Theory and Spectroscopy, Princeton Lectures, (1951), CERN Rerport 61–8.
A. Simoni andB. Vitale:Nuovo Cimento,48 A, 584, (1967);G. Maiella andB. Vitale:Nuovo Cimento,47 A, 330 (1967).
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Duimio, F., Pauri, M. On local dynamical symmetries of classical systems. Nuovo Cimento A (1965-1970) 51, 1141–1150 (1967). https://doi.org/10.1007/BF02721780
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DOI: https://doi.org/10.1007/BF02721780