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).
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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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