19,612 research outputs found
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 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 upto
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 Cabibbo-Kobayashi-Maskawa matrix, ,
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 from being moduli symmetric (i.e.
) is controlled by the small difference between two of the
eigenvalues. In case, any two eigenvalues are equal, one obtains a moduli
symmetric depending on only three parameters. Our parametrization gives
very good fits to the available data including CP-violation. Our value of and other parameters associated with the ` unitarity
triangle' 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 Einstein-Born-Infeld theory through the -
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 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
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