The bicomplex quantum Coulomb potential problem

Generalizations of the complex number system underlying the mathematical formulation of quantum mechanics have been known for some time, but the use of the commutative ring of bicomplex numbers for that purpose is relatively new. This paper provides an analytical solution of the quantum Coulomb potential problem formulated in terms of bicomplex numbers. We define the problem by introducing a bicomplex hamiltonian operator and extending the canonical commutation relations to the form [X_i,P_k] = i_1 hbar xi delta_{ik}, where xi is a bicomplex number. Following Pauli's algebraic method, we find the eigenvalues of the bicomplex hamiltonian. These eigenvalues are also obtained, along with appropriate eigenfunctions, by solving the extension of Schrodinger's time-independent differential equation. Examples of solutions are displayed. There is an orthonormal system of solutions that belongs to a bicomplex Hilbert space.Comment: Clarifications; some figures removed; version to appear in Can. J. Phy

The Effect of Wal-Mart Supercenters on Grocery Prices in New England

This study analyzes the effect of the presence of Wal-Mart Supercenters on the prices at conventional supermarkets in Massachusetts, Connecticut, and Rhode Island. Using price indexes constructed from primary price data on a basket of 54 goods and holding several demographics and market conditions constant, we determine that Supercenters result in a 7.79% average price reduction in national brand goods and a 6.38% average price reduction in private label goods. Wal-Mart Supercenters also price their groceries on average 15.65% lower than supermarkets competing with Supercenters and 22.28% lower than supermarkets geographically distant from Supercenters.Marketing,

Chirped-pulse interferometry with finite frequency correlations

Chirped-pulse interferometry is a new interferometric technique encapsulating the advantages of the quantum Hong-Ou-Mandel interferometer without the drawbacks of using entangled photons. Both interferometers can exhibit even-order dispersion cancellation which allows high resolution optical delay measurements even in thick optical samples. In the present work, we show that finite frequency correlations in chirped-pulse interferometry and Hong-Ou-Mandel interferometry limit the degree of dispersion cancellation. Our results are important considerations in designing practical devices based on these technologies.Comment: 10 pages, 2 figure

Alien Registration- Lavoie, Pierre J. (Brunswick, Cumberland County)

https://digitalmaine.com/alien_docs/31524/thumbnail.jp

Experimental bound entanglement in a four-photon state

Entanglement [1, 2] enables powerful new quantum technologies [3-8], but in real-world implementations, entangled states are often subject to decoherence and preparation errors. Entanglement distillation [9, 10] can often counteract these effects by converting imperfectly entangled states into a smaller number of maximally entangled states. States that are entangled but cannot be distilled are called bound entangled [11]. Bound entanglement is central to many exciting theoretical results in quantum information processing [12-14], but has thus far not been experimentally realized. A recent claim for experimental bound entanglement is not supported by their data [15]. Here, we consider a family of four-qubit Smolin states [16], focusing on a regime where the bound entanglement is experimentally robust. We encode the state into the polarization of four photons and show that our state exhibits both entanglement and undistillability, the two defining properties of bound entanglement. We then use our state to implement entanglement unlocking, a key feature of Smolin states [16].Comment: 10 pages, 6 figures. For a simultaneously submitted related work see arXiv:1005.196

Inflammatory Airway Disease of Horses - Revised Consensus Statement

The purpose of this manuscript is to revise and update the previous consensus statement on inflammatory airway disease (IAD) in horses. Since 2007, a large number of scientific articles have been published on the topic and these new findings have led to a significant evolution of our understanding of IAD