Factorization and Entanglement in Quantum Systems

We discuss the question of entanglement versus separability of pure quantum states in direct product Hilbert spaces and the relevance of this issue to physics. Different types of separability may be possible, depending on the particular factorization or split of the Hilbert space. A given orthonormal basis set for a Hilbert space is defined to be of type (p,q) if p elements of the basis are entangled and q are separable, relative to a given bi-partite factorization of that space. We conjecture that not all basis types exist for a given Hilbert space.Comment: 11 page

Studies of hollow multipartitioned ceramic structures

Drawing of glass fiber into hollow cross sections of various shape

2003, “Dynamic Almost Ideal Demand Systems: An Empirical Analysis of Alcohol Expenditure

Abstract This paper presents a dynamic form of the Almost Ideal Demand System (AIDS). We employ three versions of the static AIDS model to determine the preferred long-run equilibrium model and represents the short-run dynamics by an error correction mechanism. This estimation procedure is then applied to alcohol expenditure in Ireland. The estimated point elasticities are consistent with previous studies and a priori expectations. Beer and spirits are found to be price inelastic in both the short and long run. While wine is price inelastic in the short run and price elastic in the long run. Dynamic Almost Ideal Demand Systems: An Empirical Analysis of Alcohol Expenditure in Ireland Abstract: This paper presents a dynamic form of the Almost Identical Demand System (AIDS). We employ three versions of the AIDS model to determine the preferred long-run equilibrium model to use in a dynamic specification, that has similar characteristics to an error correction mechanism. This estimation procedure is applied to the demand for alcohol in Ireland. Beer is found to be price inelastic in both the short and long run. Spirits is price elastic in the short run and price inelastic in the long run. Wine is price elastic in the both the short and long run

The CCP13 FibreFix program suite: semi-automated analysis of diffraction patterns from non-crystalline materials

FibreFix integrates various programs for the analysis of non-crystalline diffraction patterns into a single user-friendly package. The main features of FibreFix are outlined and some of its applications are illustrated

Quantized Detector Networks: A review of recent developments

QDN (quantized detector networks) is a description of quantum processes in which the principal focus is on observers and their apparatus, rather than on states of SUOs (systems under observation). It is a realization of Heisenberg's original instrumentalist approach to quantum physics and can deal with time dependent apparatus, multiple observers and inter-frame physics. QDN is most naturally expressed in the mathematical language of quantum computation, a language ideally suited to describe quantum experiments as processes of information exchange between observers and their apparatus. Examples in quantum optics are given, showing how the formalism deals with quantum interference, non-locality and entanglement. Particle decays, relativity and non-linearity in quantum mechanics are discussed.Comment: 59 pages, 14 figures, to be published in Int. J. Mod. Phys.