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The Hannay geometric phase is the classical analog of the well-known Berry phase. Its most familiar example is the effect of the latitude λ on the motion of a Foucault pendulum. We describe an electronic network whose behavior is exactly equivalent to that of the pendulum. The circuit can be constructed from off-the-shelf components using two matched transconductance amplifiers that comprise a gyrator to introduce the non-reciprocal behavior needed to mimic the pendulum. One may precisely measure the dependence of the Hannay phase on λ by circuit simulation and by laboratory measurements on a constructed circuit. [ABSTRACT FROM AUTHOR]

We show that due to the large coupling constant of the monopole-photon interaction the annihilation of monopole-antimonopole and monopolium into many photons must be considered experimentally. For monopole-antimonopole annihilation and lightly bound monopolium, even in the less favorable scenario, multiphoton events (four and more photons in the final state) are dominant, while for strongly bound monopolium, although two photon events are important, four- and six-photon events are also sizable. [ABSTRACT FROM AUTHOR]

An interesting analog circuit for simulating a signal with fluctuations having a probability density function with a power tail has recently been proposed and constructed. The exponent of the power law can be fixed by tuning an appropriate circuit element. The proposal is to use the circuit as a simulator-generator of financial market fluctuations and as a tool for risk estimations and forecasts. We present a discussion of the stability conditions for multiplicative noise and an exhaustive analysis of the power law fluctuation generator in connection with the electronic components and their parameters. From our studies, one can conclude that the proposal is not adequate to provide a confident experimental scheme to follow the fluctuations of the financial market due to both electronic implementation and to difficulties in parameter tuning. [ABSTRACT FROM AUTHOR]

Time series corresponding to nominal exchange rates between the US dollar and Argentina, Brazil and European Economic Community currencies; different financial indexes as the Industrial Dow Jones, the British Footsie, the German DAX Composite, the Australian Share Price and the Nikkei Cash and also different Argentine local tax revenues, are analyzed looking for the appearance of simple patterns and the possible definition of forecast evaluators. In every case, the statistical fractal dimensions are obtained from the behavior of the corresponding variance of increments at a given lag. The detrended fluctuation analysis of the data in terms of the corresponding exponent in the resulting power law is carried out. [ABSTRACT FROM AUTHOR]

Data on multiplicity distributions in p $$\bar b$$ collisions at 0.3, 0.546, 1.0 and 1.8 GeV CM energy from recent experiments at FNAL and its relation to previous experiments are analyzed. Fits to the data and a critical discussion of the results are presented. [ABSTRACT FROM AUTHOR]

Recent data on Drell-Yan processes induced by protons on nuclear targets gives non trivial information about nuclear effects. A very simple model for excess pions in nuclei reproduces the main features of these data, and also of those comming from deep inelastic experiments. This simple scheme gives an unified treatement of nuclear effects highlighting its importance in the deuteron and provides a precise prediction for future p-p and p-d Drell-Yan experiments. [ABSTRACT FROM AUTHOR]

Abstract: The well-known Hellmann–Feynman theorem of quantum mechanics connected with the derivative of the eigenvalues with respect to a parameter upon which the Hamiltonian depends, is generalized to include cases in which the domain of definition of the Hamiltonian of the system also depends on that parameter. [Copyright &y& Elsevier]

The interaction of an electron with a polar molecule is shown to be the simplest realization of a quantum anomaly in a physical system. The existence of a critical dipole moment for electron capture and formation of anions, which has been confirmed experimentally and numerically, is derived. This phenomenon is a manifestation of the anomaly associated with quantum symmetry breaking of the classical scale invariance exhibited by the point-dipole interaction. Finally, analysis of symmetry breaking for this system is implemented within two different models: point dipole subject to an anomaly and finite dipole subject to explicit symmetry breaking.