Abstract
This is work(1,2) which I (MMN) and Mike Simmons have been doing at Los Alamos.† It’s hopefully going to be short, sweet, and to the point. I have divided the talk into sections. In Section 2 I’m going to review in some detail the properties of the coherent states for the harmonic oscillator. Then (in Section 3) I’m going to describe what I will call the “classical motion generalization.” By that I mean I will define “coherent states” not only for the simple harmonic oscillator but for particles in different potentials. These coherent states should follow the classical motion of a particle in such a classical potential. Finally, to show that our proposed generalization is indeed a good one, I am going to present in Section 4 a specific example which we have analytically beaten to death, and then close with a discussion.
Work supported by the United States Department of Energy.
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References and Notes
M. M. Nieto and L. M. Simmons, Jr., Phys. Rev. Lett. 41, 207 (1978).
M. M. Nieto and L. M. Simmons, Jr., Phys. Rev. A 19, 438 (1979).
A. O. Barut and L. Girardello, Commun. Math. Phys. 21, 41 (1971).
M. Perelomov, Commun. Math. Phys. 26, 222 (1972)
M. Perelomov, Usp. Fiz. Nauk 123, 23 (1977)
M. Perelomov, [English translation in Soy. Phys. Usp. 20, 703 (1977)].
E. Schrödinger, Naturwissenschaften 14, 664 (1926).
J. Mostowski, Lett. Math. Phys. 2, 1 (1977).
N. Rosen and P. M. Morse, Phys. Rev. 42, 210 (1932).
M. M. Nieto, Phys. Rev. A 17, 1273 (1978).
L. Infeld and T. E. Hull, Rev. Mod. Phys. 23, 21 (1951).
R. B. Walker and R. K. Preston, J. Chem. Phys. 67, 2017 (1977).
V. P. Gutschick, M. M. Nieto, and F. Baker, Time evolution of coherent states for general potentials, movie (13 min., 16 mm, color, sound) available for $130 from Cinesound Co., 915 N. Highland Ave., Hollywood, California 90038. A review of this film is given in C. A. Nelson, Am. J. Phys. 47, 755 (1979).
A detailed series of articles on the work started in References 1 and 2 is in progress. See M. M. Nieto and L. M. Simmons, Jr., Phys. Rev. D 20, 1321, 1332, 1342 (1979)
M. M. Nieto, Los Alamos preprint LA-UR-79–2101
V. P. Gutschick and M. M. Nieto, Los Mamas preprint LA-UR-79–2925
M. M. Nieto, L. M. Simmons, Jr., and V. P. Gutschick, Los Alamos preprint (in preparation).
C. Aragone, G. Guerri, S. Salamô, and J. L. Tani, J. Phys. A 7, L149 (1974)
H. Bacry, Phys. Rev. A 18, 617 (1978).
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Nieto, M.M., Simmons, L.M. (1980). Analytic Coherent States for Generalized Potentials. In: Barut, A.O. (eds) Foundations of Radiation Theory and Quantum Electrodynamics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0671-0_18
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