On the role of coherent states in quantum foundations |
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Authors: | J Klauder |
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Institution: | 1. Department of Physics and Department of Mathematics, University of Florida, Gainesville, FL, 32611-8440, USA
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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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