A direct proof of completeness of squeezed odd-number states

A direct proof of the resolution of the identity in the odd sector of the Fock space in terms of squeezed number states $D(\xi)|2m+1>; D(\xi) = \exp(({\xi}a^{\dagger2}-{\xi}^*{a^2})/2)$ is given. The proof entails evaluation of an integral involving Jacobi polynomials. This is achieved by the use of Racah identities.Comment: 6 pages, latex, no figure

Jack polynomials, generalized binomial coefficients and polynomial solutions of the generalized Laplace's equation

We discuss the symmetric homogeneous polynomial solutions of the generalized Laplace's equation which arises in the context of the Calogero-Sutherland model on a line. The solutions are expressed as linear combinations of Jack polynomials and the constraints on the coefficients of expansion are derived. These constraints involve generalized binomial coefficients defined through Jack polynomials. Generalized binomial coefficients for partitions of $k$ upto $k=6$ are tabulated.Comment: 19 pages, latex, no figures, 12 tables Minor typographical errors in some of the equations and the tables have been correcte

The Schwinger SU(3) Construction - II: Relations between Heisenberg-Weyl and SU(3) Coherent States

The Schwinger oscillator operator representation of SU(3), studied in a previous paper from the representation theory point of view, is analysed to discuss the intimate relationships between standard oscillator coherent state systems and systems of SU(3) coherent states. Both SU(3) standard coherent states, based on choice of highest weight vector as fiducial vector, and certain other specific systems of generalised coherent states, are found to be relevant. A complete analysis is presented, covering all the oscillator coherent states without exception, and amounting to SU(3) harmonic analysis of these states.Comment: Latex, 51 page

Customs Valuation in India: Identifying Trade Facilitation related Concerns

India has introduced several trade facilitation related measures in the last couple of years. The pro-active strategy adopted by the Central Board of Excise and Customs (CBEC) has helped in introducing several policy measures which have not only streamlined the role of the customs department but has also helped industry in a major way without compromising collection of revenue.Trade Facilitation, Customs Valuation, India

Studies in Trade and Investment: The Development Impact of Information Technology in Trade Facilitation

Section A of this chapter deals with the role of SMEs in exports while section B details evolution in the use of IT for cargo clearance. Section C examines the impact of IT trade facilitation measures on SMEs. Section D presents stakeholder interviews on the impact of information technology automation in trade facilitation. Section E concludes the chapter and proposes some recommendations.Trade facilitation, ICT, IT, SMEs, export, customs, India

Impact of IT related Trade Facilitation Measures on SMEs: An Overview of Indian Experience

This paper examine the extent of automation of trade facilitation in India and to assess the impact of automation on SMEs in the country.Impace of Information Techonology, SMEs, India

Parametrization of the quark mixing matrix involving its eigenvalues

A parametrization of the $3\times 3$ Cabibbo-Kobayashi-Maskawa matrix, $V$, is presented in which the parameters are the eigenvalues and the components of its eigenvectors. In this parametrization, the small departure of the experimentally determined $V$ from being moduli symmetric (i.e. $|V_{ij}|=|V_{ji}|$) is controlled by the small difference between two of the eigenvalues. In case, any two eigenvalues are equal, one obtains a moduli symmetric $V$ depending on only three parameters. Our parametrization gives very good fits to the available data including CP-violation. Our value of $\sin 2\beta\approx 0.7$ and other parameters associated with the ` unitarity triangle' $V_{11}V_{13}^{*}+V_{21}V_{23}^{*}V_{31}V_{33}^{*}=0$ are in good agreement with data and other analyses.Comment: Latex, 11 pages, no figure

p-wave Holographic Superconductors from Born-Infeld Black Holes

We obtain (2+1) dimensional p-wave holographic superconductors from charged Born-Infeld black holes in the presence of massive charged vector fields in a bulk $AdS_4$ Einstein-Born-Infeld theory through the $AdS_4$-$CFT_3$ correspondence. Below a certain critical transition temperature the charged black hole develops vector hair that corresponds to charged vector condensate in the strongly coupled (2+1) dimensional boundary field theory that breaks both the $U(1)$ symmetry as well as the rotational invariance. The holographic free energy is computed for the boundary field theory which shows that the vector order parameter exhibits a rich phase structure involving zeroth order, first order, second order and retrograde phase transitions for different values of the backreaction and the Born-Infeld parameters. We numerically compute the ac conductivity for the p-wave superconducting phase of the strongly coupled (2+1) dimensional boundary field theory which also depends on the relative values of the parameters in the theory.Comment: 26 pages, 18 figure