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On the role of coherent states in quantum foundations

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Abstract

Coherent states, and the Hilbert space representations they generate, provide ideal tools to discuss classical/quantum relationships. In this paper we analyze three separate classical/quantum problems using coherent states, and show that useful connections arise among them. The topics discussed are: (1) a truly natural formulation of phase space path integrals; (2) how this analysis implies that the usual classical formalism is “simply a subset” of the quantum formalism, and thus demonstrates a universal coexistence of both the classical and quantum formalisms; and (3) how these two insights lead to a complete analytic solution of a formerly insoluble family of nonlinear quantum field theory models.

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Authors and Affiliations

  1. Department of Physics and Department of Mathematics, University of Florida, Gainesville, FL, 32611-8440, USA

    J. Klauder

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  1. J. Klauder
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Correspondence to J. Klauder.

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Klauder, J. On the role of coherent states in quantum foundations. Opt. Spectrosc. 111, 501–504 (2011). https://doi.org/10.1134/S0030400X11110166

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