1,425 research outputs found

    Mapping F₁-land: an overview of geometries over the field with one element

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    Does financial VAT affect the size of the financial sector?

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    The influence of VAT applied to financial services on the size of the financial sector is analyzed empirically. The authors use data from 36 European Union and OECD countries for the period from 1961 to 2012. Dynamic panel data techniques are used, concretely the GMM System. An unbalanced panel is handled. The results allow the authors to support the theoretical analysis that financial VAT has no significant effect on financial sector development. Results are robust to the specifications of the dependent and target variables and to the econometric method applied

    Financial VAT may improve trade openness

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    This paper theoretically and empirically analyzes how the taxation of financial services under VAT (‘financial VAT’) influences trade openness. The empirical analysis uses data from the OECD and 36 European Union countries for the period 1960–2019. Dynamic panel data techniques are used, concretely the GMM System, and an unbalanced panel is handled. The results corroborate that financial VAT, and in particular the ‘option-to-tax’ method applied by some countries in the European Union, are positively associated with a country’s trade openness. © 2021 Informa UK Limited, trading as Taylor & Francis Group

    Phase transitions with finite atom number in the Dicke Model

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    Two-level atoms interacting with a one mode cavity field at zero temperature have order parameters which reflect the presence of a quantum phase transition at a critical value of the atom-cavity coupling strength. Two popular examples are the number of photons inside the cavity and the number of excited atoms. Coherent states provide a mean field description, which becomes exact in the thermodynamic limit. Employing symmetry adapted (SA) SU(2) coherent states (SACS) the critical behavior can be described for a finite number of atoms. A variation after projection treatment, involving a numerical minimization of the SA energy surface, associates the finite number phase transition with a discontinuity in the order parameters, which originates from a competition between two local minima in the SA energy surface.Comment: 8 pages, 10 figures, Conference Proceedings of CEWQO-2012, to be published as a Topical Issue of the journal Physica Script

    On the classification of twisting maps between K<sup>n</sup> and K<sup>m</sup>

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    Coherent State Description of the Ground State in the Tavis-Cummings Model and its Quantum Phase Transitions

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    Quantum phase transitions and observables of interest of the ground state in the Tavis-Cummings model are analyzed, for any number of atoms, by using a tensorial product of coherent states. It is found that this "trial" state constitutes a very good approximation to the exact quantum solution, in that it globally reproduces the expectation values of the matter and field observables. These include the population and dipole moments of the two-level atoms and the squeezing parameter. Agreement in the field-matter entanglement and in the fidelity measures, of interest in quantum information theory, is also found.The analysis is carried out in all three regions defined by the separatrix which gives rise to the quantum phase transitions. It is argued that this agreement is due to the gaussian structure of the probability distributions of the constant of motion and the number of photons. The expectation values of the ground state observables are given in analytic form, and the change of the ground state structure of the system when the separatrix is crossed is also studied.Comment: 38 pages, 16 figure

    On the classification and properties of noncommutative duplicates

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    We give an explicit description of the set of all factorization structures, or twisting maps, existing between the algebras k^2 and k^2, and classify the resulting algebras up to isomorphism. In the process we relate several different approaches formerly taken to deal with this problem, filling a gap that appeared in a recent paper by Cibils. We also provide a counterexample to a result concerning the Hochschild (co)homology appeared in a paper by J.A. Guccione and J.J. Guccione.Comment: 11 pages, no figure
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