Her Majesty’s inspectorate of schools in England and Wales 1860-1870

The aim of this thesis is to examine in detail the Inspectorate in the 1860’s and in particular the effect of the1862 Revised Code on the inspectors' work. The background to the Revised Code is outlined, with emphasis on the early development of the Inspectorate and the extent to which the I846 Pupil-Teacher Minutes changed the nature of the inspectors' task. After a chapter on the Report of the Newcastle Commission, the evolution of the Revised Code and the debate which led to its alteration are examined and placed in the context of contemporary social attitudes. This includes a section on inspectors' opinions of the Revised Code and, in the following chapter, the effect of the new Code on the inspection of schools. Throughout, attention is given to the influence of the religious bodies on elementary education and its inspection. The careers of the inspectors, which are given fully in an appendix, are analysed and, using their own writings as evidence, the inspectors' attitudes to their work are summarised. This examination of the writings of the H.M.I.s is then broadened to cover their opinions on the educational issues of the 1860s. The extent to which these writings were subjected to censorship by the Privy Council Office is discussed in the context of the developing relationship between the government and its officials and the emphasis by the Office on the subordinate nature of the Inspectorate. After studying the effects of the Revised Code on the inspectors, teachers and school managers, this discussion is then extended into a fuller exploration of the relationship between the Education Office and its Inspectorate in the 1860s.The thesis includes a brief survey of other school inspectors and ends with an account of the part that the H.M.I.s played in the genesis of the 1870 Education Act

Threshold bounds for noisy bipartite states

For a nonseparable bipartite quantum state violating the Clauser-Horne-Shimony-Holt (CHSH) inequality, we evaluate amounts of noise breaking the quantum character of its statistical correlations under any generalized quantum measurements of Alice and Bob. Expressed in terms of the reduced states, these new threshold bounds can be easily calculated for any concrete bipartite state. A noisy bipartite state, satisfying the extended CHSH inequality and the perfect correlation form of the original Bell inequality for any quantum observables, neither necessarily admits a local hidden variable model nor exhibits the perfect correlation of outcomes whenever the same quantum observable is measured on both "sides".Comment: 9 pages; v.2: minor editing corrections; to appear in J. Phys. A: Math. Ge

Trends in sugar content of non-alcoholic beverages in Australia between 2015 and 2019 during the operation of a voluntary industry pledge to reduce sugar content

Objectives: To investigate changes in mean sugar content of non-alcoholic beverages (overall and sugar-sweetened beverages) available for purchase in Australia and to compare signatories versus non-signatories of the Australian Beverages Council voluntary pledge from 2018 Design: Retrospective observational study Setting: Australia Participants: About 1,500 non-alcoholic beverages per year included in the FoodSwitch Monitoring Datasets for 2015-2019 Results: Overall, mean sugar content fell by 1.3g/100mL (17.1%) from 7.5g/100mL in 2015 to 6.2g/100mL in 2019. SSBs have accounted for about 56% of all beverages available for purchase since 2015. Between 2015 and 2019, the sugar content of SSBs dropped by about 10% (0.8g/100mL). Soft drinks and milk-based drinks were the categories with the largest decrease in sugar content. The greater reduction in sugar observed for beverages overall than SSBs suggests at least some of the overall decrease in sugar content is due to the appearance of new products with low or no-sugar rather than reformulation. Over the same period, beverages with added non-nutritive sweeteners increased from 41% to 44%. The decrease in sugar content for all beverages and SSBs was, in general, larger for non-signatories than signatories of the voluntary industry pledge. Conclusions: Between 2015 and 2019, the small reduction in sugar content of non-alcoholic beverages in Australia resulted from the combined effects of introducing low or no-sugar products and reformulation of some categories of SSBs. Further policy and regulatory measures are required to reap the most benefit that sugar reduction among non-alcoholic beverages can bring to population health

Improved Lieb-Oxford exchange-correlation inequality with gradient correction

We prove a Lieb-Oxford-type inequality on the indirect part of the Coulomb energy of a general many-particle quantum state, with a lower constant than the original statement but involving an additional gradient correction. The result is similar to a recent inequality of Benguria, Bley and Loss, except that the correction term is purely local, which is more usual in density functional theory. In an appendix, we discuss the connection between the indirect energy and the classical Jellium energy for constant densities. We show that they differ by an explicit shift due to the long range of the Coulomb potential.Comment: Final version to appear in Physical Review A. Compared to the very first version, this one contains an appendix discussing the link with the Jellium proble

On the probabilistic description of a multipartite correlation scenario with arbitrary numbers of settings and outcomes per site

We consistently formalize the probabilistic description of multipartite joint measurements performed on systems of any nature. This allows us: (1) to specify in probabilistic terms the difference between nonsignaling, the Einstein- Podolsky-Rosen (EPR) locality and Bell's locality; (2) to introduce the notion of an LHV model for an S_{1}x...xS_{N}-setting N-partite correlation experiment, with outcomes of any spectral type, discrete or continuous, and to prove both general and specific "quantum" statements on an LHV simulation in an arbitrary multipartite case; (3) to classify LHV models for a multipartite quantum state, in particular, to show that any N-partite quantum state, pure or mixed, admits an Sx1x...x1 -setting LHV description; (4) to evaluate a threshold visibility for a noisy bipartite quantum state to admit an S_{1}xS_ {2}-setting LHV description under any generalized quantum measurements of two parties. In a sequel to this paper, we shall introduce a single general representation incorporating in a unique manner all Bell-type inequalities for either joint probabilities or correlation functions that have been introduced or will be introduced in the literature.Comment: 26 pages; added section Conclusions and some references for section

Dipole binding in a cosmic string background due to quantum anomalies

We propose quantum dynamics for the dipole moving in cosmic string background and show that the classical scale symmetry of a particle moving in cosmic string background is still restored even in the presence of dipole moment of the particle. However, we show that the classical scale symmetry is broken due to inequivalent quantization of the the non-relativistic system. The consequence of this quantum anomaly is the formation of bound state in the interval \xi\in(-1,1). The inequivalent quantization is characterized by a 1-parameter family of self-adjoint extension parameter \Sigma. We show that within the interval \xi\in(-1,1), cosmic string with zero radius can bind the dipole and the dipole does not fall into the singularity.Comment: Accepted for publication in Phys. Rev.

Enskog Theory for Polydisperse Granular Mixtures. I. Navier-Stokes order Transport

A hydrodynamic description for an $s$-component mixture of inelastic, smooth hard disks (two dimensions) or spheres (three dimensions) is derived based on the revised Enskog theory for the single-particle velocity distribution functions. In this first portion of the two-part series, the macroscopic balance equations for mass, momentum, and energy are derived. Constitutive equations are calculated from exact expressions for the fluxes by a Chapman-Enskog expansion carried out to first order in spatial gradients, thereby resulting in a Navier-Stokes order theory. Within this context of small gradients, the theory is applicable to a wide range of restitution coefficients and densities. The resulting integral-differential equations for the zeroth- and first-order approximations of the distribution functions are given in exact form. An approximate solution to these equations is required for practical purposes in order to cast the constitutive quantities as algebraic functions of the macroscopic variables; this task is described in the companion paper.Comment: 36 pages, to be published in Phys. Rev.

The quantized Hall effect in the presence of resistance fluctuations

We present an experimental study of mesoscopic, two-dimensional electronic systems at high magnetic fields. Our samples, prepared from a low-mobility InGaAs/InAlAs wafer, exhibit reproducible, sample specific, resistance fluctuations. Focusing on the lowest Landau level we find that, while the diagonal resistivity displays strong fluctuations, the Hall resistivity is free of fluctuations and remains quantized at its $\nu=1$ value, $h/e^{2}$. This is true also in the insulating phase that terminates the quantum Hall series. These results extend the validity of the semicircle law of conductivity in the quantum Hall effect to the mesoscopic regime.Comment: Includes more data, changed discussio

The Importance of Boundary Conditions in Quantum Mechanics

We discuss the role of boundary conditions in determining the physical content of the solutions of the Schrodinger equation. We study the standing-wave, the ``in,'' the ``out,'' and the purely outgoing boundary conditions. As well, we rephrase Feynman's $+i \epsilon$ prescription as a time-asymmetric, causal boundary condition, and discuss the connection of Feynman's $+i \epsilon$ prescription with the arrow of time of Quantum Electrodynamics. A parallel of this arrow of time with that of Classical Electrodynamics is made. We conclude that in general, the time evolution of a closed quantum system has indeed an arrow of time built into the propagators.Comment: Contribution to the proceedings of the ICTP conference "Irreversible Quantum Dynamics," Trieste, Italy, July 200

One-Dimensional Discrete Stark Hamiltonian and Resonance Scattering by Impurities

A one-dimensional discrete Stark Hamiltonian with a continuous electric field is constructed by extension theory methods. In absence of the impurities the model is proved to be exactly solvable, the spectrum is shown to be simple, continuous, filling the real axis; the eigenfunctions, the resolvent and the spectral measure are constructed explicitly. For this (unperturbed) system the resonance spectrum is shown to be empty. The model considering impurity in a single node is also constructed using the operator extension theory methods. The spectral analysis is performed and the dispersion equation for the resolvent singularities is obtained. The resonance spectrum is shown to contain infinite discrete set of resonances. One-to-one correspondence of the constructed Hamiltonian to some Lee-Friedrichs model is established.Comment: 20 pages, Latex, no figure