Dynamics of Coherent States

C. L. Mehta, P. Chand, E. C. G. Sudarshan, and R. Vedam
Phys. Rev. 157, 1198 – Published 25 May 1967
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Abstract

A system of harmonic oscillators in the presence of interaction, and with an arbitrary number of degrees of freedom, is considered. The most general form of the Hamiltonian is derived under the restriction that the states which are initially coherent remain coherent at all times. The equation of motion for the annihilation operator, obtained by using this Hamiltonian, is solved, and the frequency spectrum of the annihilation operator is discussed. By giving specific examples it is shown that, in general, the annihilation operators (or their eigenvalues) contain positive as well as negative frequency components and hence are not analytic signals. Some special cases are also considered where the annihilation operators are analytic signals.

  • Received 6 October 1966

DOI:https://doi.org/10.1103/PhysRev.157.1198

©1967 American Physical Society

Authors & Affiliations

C. L. Mehta

  • Department of Physics and Astronomy, University of Rochester, Rochester, New York

P. Chand*, E. C. G. Sudarshan, and R. Vedam

  • Physics Department, Syracuse University, Syracuse, New York

  • *Present address: A & M University, College Station, Texas.
  • Permanent address: Physics Department, Harvard University, Cambridge, Massachusetts.

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Issue

Vol. 157, Iss. 5 — May 1967

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