On the role of coherent states in quantum foundations

Details On the role of coherent states in quantum foundations On the role of coherent states in quantum foundations

2010-08-25

arxiv.org/abs/1008.4307v1

Physics

Quantum Physics

ICQOQI'2010, Kiev, Ukraine, May-June 2010, Conference Proceedings (9 pages)

Scientific paper

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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