10,768 research outputs found

    Coordinate representation for non Hermitian position and momentum operators

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    In this paper we undertake an analysis of the eigenstates of two non self-adjoint operators q^\hat q and p^\hat p similar, in a suitable sense, to the self-adjoint position and momentum operators q^0\hat q_0 and p^0\hat p_0 usually adopted in ordinary quantum mechanics. In particular we discuss conditions for these eigenstates to be {\em biorthogonal distributions}, and we discuss few of their properties. We illustrate our results with two examples, one in which the similarity map between the self-adjoint and the non self-adjoint is bounded, with bounded inverse, and the other in which this is not true. We also briefly propose an alternative strategy to deal with q^\hat q and p^\hat p, based on the so-called {\em quasi *-algebras}.Comment: Accepted in Proceedings of the Royal Society

    Testing the Unbiased Forward Exchange Rate Hypothesis Using a Markov Switching Model and Instrumental Variables

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    This paper develops a model for the forward and spot exchange rate which allows for the presence of a Markov switching risk premium in the forward market and considers the issue of testing for the unbiased forward exchange rate (UFER) hypothesis. Using US/UK data, it is shown that the UFER hypothesis cannot be rejected provided that instrumental variables are used to account for within-regime correlation between explanatory variables and disturbances in the Markov switching model on which the test is based

    Constraints on anomalous gauge couplings from present LEP1 and future LEP2, BNL data

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    We analyze, in a rather general model where anomalous triple gauge couplings are present, the visible effects in Rb_b (measured at LEP1), in W pair production (to be measured at LEP2) and in the muon anomalous magnetic moment (to be measured at BNL). From the combination of the three experiments a remarkable improvement on the pure LEP2 constraints is obtained.Comment: 10 pages and 6 figures. e-mail: [email protected]

    Photometric measurements of simulated lunar surfaces Quarterly progress report no. 2, 1 Oct. - 31 Dec. 1965

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    Spectral and suspended particle photometry and geometry of backscattering surfaces in study on photometric measurements of simulated lunar surface

    Photometric measurements of simulated lunar surfaces Quarterly progress report, Jul. 1 - Sep. 30, 1965

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    Modified photometric analyzer and enlarged beam splitter for studying simulated lunar surfaces and opposition effect on moo

    Contemporaneous-threshold smooth transition GARCH models

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    This paper proposes a contemporaneous-threshold smooth transition GARCH (or C-STGARCH)model for dynamic conditional heteroskedasticity. The C-STGARCH model is a generalization tosecond conditional moments of the contemporaneous smooth transition threshold autoregressive model of Dueker et al. (2007) in which the regime weights depend on the ex ante probability that a contemporaneous latent regime-specific variable exceeds a threshold value. A key feature of the C-STGARCH model is that its transition function depends on all the parameters of the model as well as on the data. The structural properties of the model are investigated, in addition to the finite-sample properties of the maximum likelihood estimator of its parameters. An application to U.S. stock returns illustrates the practical usefulness of the C-STGARCH model

    Nonlinear Relaxation in Population Dynamics

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    We analyze the nonlinear relaxation of a complex ecosystem composed of many interacting species. The ecological system is described by generalized Lotka-Volterra equations with a multiplicative noise. The transient dynamics is studied in the framework of the mean field theory and with random interaction between the species. We focus on the statistical properties of the asymptotic behaviour of the time integral of the i-th population and on the distribution of the population and of the local field.Comment: 11 pages, 4 figures, in press in Int. Journal of Fractals (2001
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