Literature Cited
I.A. Malkin and V.I. Man'ko, Zh. Eksp. Teor. Fiz.,59, 1746 (1970); Preprint FIAN No. 15 [in Russian], P.N. Lebedev Physics Institute (1971).
V.V. Dodonov, I.A. Malkin, and V.I. Man'ko, Phys. Lett.,39A, 377 (1972); Physica,72, 597 (1974).
I.A. Malkin, V.I. Man'ko, and D.A. Trifonov, Kratkie Soobshcheniya Po Fizike, No. 5, 20, 27 (1971); J. Math. Phys.,14, 576 (1973).
A. Holz, Lett. Nuovo Cimento,4, 1319 (1970).
N.A. Chernikov, Zh. Eksp. Teor. Fiz.,53, 1006 (1967).
M.M. Popov, Problems of Mathematical Physics, No. 6 [in Russian] (1973), p.119.
E.E. Bergman and A. Holz, Nuovo Cimento,B7, 265, 277 (1972).
U.M. Titulaer, Physica,70, 257 (1973).
J. Williamson, Amer. J. Math.,58, 141 (1936).
F.A. Berezin, The Method of Second Quantization (Pure and Appl. Physics, Vol. 24) New York (1966).
M. Moshinsky and C. Quesne, J. Math. Phys.,12, 1772 (1971).
M.H. Boon and T.H. Seligman, J. Math. Phys.,14, 1224 (1973).
M.H. Boon, Proc. Second Intern. Colloquium on Group Theoretical Methods in Physics, Vol. 1, University of Nijmegen (1973), p. A54.
P. Kramer, M. Moshinsky, and T.H. Seligman, Complex extensions of canonical transformations and quantum mechanics, to be published in: Group Theory and Its Applications, (ed. E.M. Loebl), Academic Press.
R.P. Feynman, Rev. Mod. Phys.,20, 367 (1948).
É.B. Aronson, E.A. Malkin, and V.I. Man'ko, Fiz. El. Chast. Atom. Yad.,5, 122 (1974).
I.A. Batalin and E.S. Fradkin, Teor. Mat. Fiz.,5, 190 (1970).
V. Bargmann, Communications Pure Appl. Math.,14, 187 (1961).
R.J. Glauber, Phys. Rev.,131, 2766 (1963).
V.V. Dodonov, I.A. Malkin, and V.I. Man'ko, Preprints FIAN No. 106 and No. 6 [in Russian], P.N. Lebedev Physics Institute (1974).
V.L. Bakhrakh and S.I. Vetchinkin, Teor. Mat. Fiz.,6, 392 (1971).
Ya.I. Granovskii and Yu.A. Dimashko, Ukr. Fiz. Zh.,19, 1456 (1974).
V.V. Dodonov, I.A. Malkin, and V.I. Man'ko, Phys. Lett.,51A, (1975).
V.V. Dodonov, I.A. Malkin, and V.I. Man'ko, Nuovo Cimento,24B, 46 (1974).
Additional information
P.N. Lebedev Physics Institute, Academy of Sciences of the USSR. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol.24, No. 2, pp. 164–176, August, 1975.
Rights and permissions
About this article
Cite this article
Dodonov, V.V., Malkin, I.A. & Man'ko, V.I. Invariants, Green's function, and coherent states of dynamical systems. Theor Math Phys 24, 746–754 (1975). https://doi.org/10.1007/BF01029057
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01029057