We introduce and study the properties of a class of coherent states for the group SU(1,1) X SU(1,1) and derive explicit expressions for these using the Clebsch-Gordan algebra for the SU(1,1) group. We restrict ourselves to the discrete series representations of SU(1,1). These are the generalization of the ‘Barut Girardello’ coherent states to the Kronecker Product of two non-compact groups.The ...

In this paper I will argue in favor of the view that if physics is to become a coherent metaphysics of nature, it needs an interpretation, namely (i) a clear formulation of its ontological/metaphysical claims and (ii) and a precise understanding of how such claims are related to the world of our experience, which is the most important reservoir of traditional, merely aprioristic metaphysical sp...

In this abstract, we present a nonlinear curvelet-based sparsitypromoting formulation for the primary-multiple separation problem. We show that these coherent signal components can be separated robustly by explicitly exploting the locality of curvelets in phase space (space-spatial frequency plane) and their ability to compress data volumes that contain wavefronts. This work is an extension of ...

In the framework of the Stochastic Formulation of Quantum Mechanics we derive non-stationary states for a class of time-dependent potentials. The wave-packets follow a classical motion with constant dispersion. The new states de ne a possible extension of the harmonic-oscillator coherent states. As an explicit application we study a sestic oscillator potential. Electronic Mail: demartino@vaxsa....

We present a joint-measurement uncertainty relation for a pair of mean square deviations of canonical variables averaged over Gaussian distributed quantum optical states. Our Bayesian formulation is free from the unbiasedness assumption, and enables us to quantify experimentally implemented joint-measurement devices by feeding a moderate set of coherent states. Our result also reproduces the mo...

Identical particle correlations at fixed multiplicity are considered in the presence of chaotic and coherent fields. The multiplicity distribution, one-particle momentum density and two-particle correlation function are obtained based on the diagrammatic representation for cumulants in semi-inclusive events. Our formulation is applied to the analysis of the experimental data on the multiplicity...

(resp. <). This is Theorem 2.2, which generalizes Mumford’s Proposition 4.3 of [21], where he treated the case Gr(k, V ), and Dolgachev’s Theorem 11.1 of [2], where he treated the case of subspaces of V . An equivalent version of the above criterion is given in Theorem 2.2’ in terms of systems of ai-dimensional quotients of V ⊗ W , as points in Πmi=1 Gr(V ⊗ W, ai). This alternative formulation ...

The coordinate-free formulation of canonical quantization, achieved by a flatspace Brownian motion regularization of phase-space path integrals, is extended to a special class of closed first-class constrained systems that is broad enough to include Yang-Mills type theories with an arbitrary compact gauge group. Central to this extension are the use of coherent state path integrals and of Lagra...