Search results for "antisymmetry"
showing 5 items of 5 documents
Wh-Relative Clauses and Left Periphery from Latin to some Romance Languages
2011
The paper is organized as follows: after an introduction of the issue we will examine, in the first section we shall discuss the theory of the antisymmetry of syntax as specifically concerns relative clauses, evidencing also problems linked to the application of this theory to the syntax of relative clauses in Latin and in other Indo-European languages; the second section will present our first attempt at some analysis of the left periphery of the Proto-Indo-European sentence; in the third section we shall discuss the categorial status of the relative pronoun in Latin and we shall produce a model of the left periphery of the Latin subordinate clause, supplying examples taken from literary a…
Color-singlet states in a hadronic quark-cluster basis
1987
We prove that any physical (color-singlet) state can be expanded in terms of a basis constructed by direct product from baryonic and/or mesonic states. The proof is based on a group-theoretical representation method due to Hund. The application of the procedure to the color degrees of freedom leads to known results, which we generalize to more complex situations. The joint application of the method to the color and flavor degrees of freedom results in our initial statement. In this way one is able to give physical meaning to a mathematical procedure. The physics behind our calculation is intimately connected with the concepts of elementarity of constituents and the spinstatistics theorem. T…
A Non-antisymmetric Tensor Contraction Engine for the Automated Implementation of Spin-Adapted Coupled Cluster Approaches
2015
We present a symbolic manipulation algorithm for the efficient automated implementation of rigorously spin-free coupled cluster (CC) theories based on a unitary group parametrization. Due to the lack of antisymmetry of the unitary group generators under index permutations, all quantities involved in the equations are expressed in terms of non-antisymmetric tensors. Given two tensors, all possible contractions are first generated by applying Wick's theorem. Each term is then put down in the form of a non-antisymmetric Goldstone diagram by assigning its contraction topology. The subsequent simplification of the equations by summing up equivalent terms and their factorization by identifying co…
A particular coordination structure of Indo-European flavour
2005
The article aims to account for the various, often unexpected positions of the conjunction in coordinated constructions of ancient Indo-European languages, among them Hittite, Ancient Greek, Latin and Vedic Sanskrit. The coordination possibilities of ancient Indo-European languages are derived from the binary branching hypotheses of Universal Grammar, with the result that not only seemingly idiosyncratic facts of a number of languages receive a principled explanation, but also a speculative hypothesis of Universal Grammar receives empirical support; ancient Indo-European languages realize possibilities that are derivable from the Munn-Kayne theory but have not been attested so far.
Quark-model study of few-baryon systems
2005
We review the application of non-relativistic constituent quark models to study one, two and three non-strange baryon systems. We present results for the baryon spectra, potentials and observables of the NN, N$\Delta$, $\Delta\Delta$ and NN$^*(1440)$ systems, and also for the binding energies of three non-strange baryon systems. We make emphasis on observable effects related to quark antisymmetry and its interplay with quark dynamics.