On the role of coherent states in quantum foundations
arXiv:1008.4307 · doi:10.1134/S0030400X11110166
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.
arXiv commentICQOQI'2010, Kiev, Ukraine, May-June 2010, Conference Proceedings (9 pages)