Literature Cited
J. von Neumann, Mathematical Foundations of Quantum Mechanics, Princeton (1955).
R. J. Glauber, Phys. Rev.,130, 2529;131, 2766 (1963).
J. R. Klauder and E. C. Sudarshan, Fundamentals of Quantum Optics, Benjamin, New York (1968).
B. Ya. Zel'dovich, A. M. Perelomov, and V. S. Popov, Zh. Eksp. Teor. Fiz.,55, 589 (1968); 57, 196 (1969); Preprints Nos. 612, 618 [in Russian], ITEF (1968).
M. V. Terent'ev, Preprint No. 773 [in Russian], ITEF (1970).
V. A. Fok, Z. Phys.,49, 339 (1928).
V. Bargmann, Commun. Pure Appl. Math.,14, 187 (1961).
B. Ja. Levin, Distribution of Zeros of Entire Functions, AMS, Providence, R. I. (1964).
A. Erdelyi et al. (editors), Higher Transcendental Functions (California Institute of Technology H. Bateman MS Project) Vol. 3, New York (1955).
R. Bellman, A Brief Introduction to Theta Functions, Holt, Rinehart, and Winston, New York (1961).
N. K. Bari, Uchenye Zapiski MGU148, Matem.,4, 69 (1951).
P. Cartier, Proc. Symp. Pure Math., Vol. 9, Algebraic Groups and Discontinuous Subgroups, Providence (1966), pp. 361–383.
I. M. Gel'fand, M. I. Graev, and I. I. Pyatetskii-Shapiro, Theory of Representations and Automorphic Functions [in Russian], Nauka (1966).
Additional information
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 6, No. 2, pp. 213–224, February, 1971.
Rights and permissions
About this article
Cite this article
Perelomov, A.M. On the completeness of a system of coherent states. Theor Math Phys 6, 156–164 (1971). https://doi.org/10.1007/BF01036577
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01036577