glq(n)gl_q(n)-Covariant Multimode Oscillators and q-Symmetric States

In this paper the coherent states and q-symmetric states for $gl_q(n)$-covariant multimode oscillator system are investigated.Comment: LaTeX v1.2, 10 pages with no figur

Coherent States of glq(2)gl_q(2)-covariant Oscillators

In this paper two types of coherent states of $gl_q(2)$-covariant oscillators are investigated.Comment: LaTeX v1.2, 10 pages with no figur

A polynomial class of u(2)u(2) algebras

A $r$-parameter ${u}_{\{\kappa_1, \kappa_2, \cdots, \kappa_r\}}(2)$ algebra is introduced. Finite unitary representations are investigated. This polynomial algebra reduces via a contraction procedure to the generalized Weyl-Heisenberg algebra ${\cal A}_{\{\kappa_1, \kappa_2, \cdots, \kappa_r\}}$ (M. Daoud and M. Kibler, J. Phys. A: Math. Theor. {\bf 45} (2012) 244036). A pair of nonlinear (quadratic) bosons of type ${\cal A}_{\kappa}\equiv {\cal A}_{\{\kappa_1=\kappa, \kappa_2=0, \cdots, \kappa_r=0\}}$ are used to construct, \`a la Schwinger, a one parameter family of (cubic) $u_{\kappa}(2)$ algebra. The corresponding Hilbert space is constructed. The analytical Bargmann representation is also presented.Comment: 12 page

Expanders are counterexamples to the coarse pp-Baum-Connes conjecture

We show that certain expanders are counterexamples to the coarse $p$-Baum-Connes conjecture.Comment: 19 page

glq(n)gl_q(n)-covariant Oscillators and q-Deformed Quantum Mechanics in n Dimensions

In this paper the coherent state for $gl_q(n)$-covariant oscillators is constructed and is shown to satisfy the completeness relation. And the q-analogue of quantum mechanics in n dimensions is obtained by using $gl_q(n)$ oscillators.Comment: LaTeX v1.2, 10 pages with no figur

Continuum model description of thin film growth morphology

We examine the applicability of the continuum model to describe the surface morphology of a hetero-growth system: compositionally-graded, relaxed GeSi films on (001) Si substrates. Surface roughness versus lateral dimension was analyzed for samples what were grown under different conditions. We find that all samples belong to the same growth class, in which the surface roughness scales linearly with lateral size at small scales and appears to saturate at large scales. For length scales ranging from 1 nm to 100 $\mu$m, the scaling behavior can be described by a linear continuum model consisting of a surface diffusion term and a Laplacian term. However, in-depth analysis on non-universal amplitudes indicates the breaking of up-down symmetry, suggesting the presence of non-linear terms in the microscopic model. We argue that the leading non-linear term has the form of $\lambda _1(\nabla h)^2$, but its effect on scaling exponents will not be evident for length scales less than 1 mm. Therefore, the growth dynamics of this system is described by the Kuramoto-Sivashinsky equation, consisting of the two linear terms plus $\lambda _1(\nabla h)^2$, driven by a Gaussian noise. We also discuss the negative coefficient in the Laplacian term as an instability mechanism responsible for large scale film morphology on the final surface.Comment: 25 pages, revtex, 6 figures available upon request, to appear in Phys. Rev.

Business integration models in the context of web services.

E-commerce development and applications have been bringing the Internet to business and marketing and reforming our current business styles and processes. The rapid development of the Web, in particular, the introduction of the semantic web and web service technologies, enables business processes, modeling and management to enter an entirely new stage. Traditional web based business data and transactions can now be analyzed, extracted and modeled to discover new business rules and to form new business strategies, let alone mining the business data in order to classify customers or products. In this paper, we investigate and analyze the business integration models in the context of web services using a micro-payment system because a micro-payment system is considered to be a service intensive activity, where many payment tasks involve different forms of services, such as payment method selection for buyers, security support software, product price comparison, etc. We will use the micro-payment case to discuss and illustrate how the web services approaches support and transform the business process and integration model.