"Expectation"

Previously in Futures, I discussed a word that we use to form an abstract futures concept: “millennium” [1]. In its most common current usage, “millennium” is an example of a word that provides, and one might even say controls, a future orientation for us. In the present essay, I am taking a different approach to the role of the word that I will be discussing. This word is not an example of a future-orientation; rather it is more of an example of language about future-orientation. The word is “expectation”. To make this distinction clearer, it may help to borrow some of the terminological distinctions made by the American logician, C.S. Peirce. First of all, for Peirce, and indeed for my present purposes, signs include words. More specifically, in a paper dated 1867, May 14th, and published in the Proceedings of the American Academy of Arts and Science (Boston), VII (1868) [2] Peirce divided signs into three categories based upon their relationship to their object—Icons, Indices, and Symbols. (Peirce himself used the convention of capitalising the words.) He defined “Icon” as a sign determined by its object “by virtue of its own internal nature”. In comparison, he defined “Index” as a sign determined by its object “by virtue of being in real relation to it”, such as when smoke is a sign of fire. A Symbol, according to Peirce, is a sign determined by its object “only in the sense that it will be so interpreted”. A Symbol thus depends upon conventions or habits

Coherent-state quantization of constrained fermion systems

The quantization of systems with first- and second-class constraints within the coherent-state path-integral approach is extended to quantum systems with fermionic degrees of freedom. As in the bosonic case the importance of path-integral measures for Lagrange multipliers, which in this case are in general expected to be elements of a Grassmann algebra, is emphasized. Several examples with first- and second-class constraints are discussed.Comment: LaTeX 2e, Springer macro pljour2, 11 pages, to appear in Z. Phys.