Pradip Mukherjee | University Of Kocaeli (original) (raw)

Papers by Pradip Mukherjee

Foundations of Physics, Sep 5, 2009

In this review article we discuss some of the applications of noncommutative geometry in physics ... more In this review article we discuss some of the applications of noncommutative geometry in physics that are of recent interest, such as noncommutative many-body systems, noncommutative extension of Special Theory of Relativity kinematics, twisted gauge theories and noncommutative gravity.

A new method of abstracting the independent gauge invariances of higher derivative systems, recen... more A new method of abstracting the independent gauge invariances of higher derivative systems, recently introduced in [R. Banerjee, P. Mukherjee, and B. Paul, J. High Energy Phys.JHEPFG1029-8479 08 (2011) 085.10.1007/JHEP08(2011)085], has been applied to higher derivative field theories. This has been discussed taking the extended Maxwell-Chern-Simons model as an example. A new Hamiltonian analysis of the model is provided. This Hamiltonian analysis has been used to construct the independent gauge generator. An exact mapping between the Hamiltonian gauge transformations and the U(1) symmetries of the action has been established.

Modern Physics Letters A, 2015

Physics Letters B

A calculational error was crept in the expression of the Hamiltonian (Eq. (14)) in original artic... more A calculational error was crept in the expression of the Hamiltonian (Eq. (14)) in original article. We give the correct form of the Hamiltonian and also the correct form of the subsequent equations which depend on the Hamiltonian. The corrections are all of numerical nature and do not affect the physical conclusions in any fundamental way. (c) 2006 Elsevier B.V. All rights reserved.

High incidence of arsenic in groundwater occurs as several small patches surrounded by zones with... more High incidence of arsenic in groundwater occurs as several small patches surrounded by zones with low arsenic in vast areas of West Bengal, India and adjoining Bangladesh. From the low- and high-arsenic groundwater zones, subsurface sediments have been analysed for mineral and chemical variations, in Baruipur, the worst arsenic-affected area in West Bengal. The Holocene sedimentary succession, in this part of Gangetic alluvium, shows a fining upward sequence from medium to fine sand, silt and finally to clay with occasional peat layer. The clay layer (As = 2-31 mg/kg) and peat layer (As = 9-40 mg/kg) contain higher concentration of arsenic compared to the silt layer (As = 2-6 mg/kg) and the sand layer (As = 1-7 mg/kg). It is inferred that the arsenic contamination in groundwater is related more with the components of sandy layer than others. Within the sandy layer, the components like (i) coated iron oxyhydroxides with residual magnetite and ilmenite (As = 14-112 mg/kg), (ii) illite...

Research studies by Central Petrological Laboratories (CPL), GSI, Kolkata enumerates a georemedia... more Research studies by Central Petrological Laboratories (CPL), GSI, Kolkata enumerates a georemedial measure for this hazardous problem An " Orange Sand " horizon yielding arsenic-free groundwater at a depth of 34–50 m has been reported from the arsenic affected areas of West Bengal. This unit gives a geological solution for arsenic pollution in Bengal delta. Groundwater in parts of Bengal delta is contaminated with arsenic resulting in a health hazard to a large number of people (Fig. 1). All the aquifers at different depths were considered to be contaminated. Research work by CPL comes up with a model describing six aquifer types wherein only two aquifers are arsenic contaminated. By making test tubewells in parts of Nadia district, it is also proved that the " Orange Sand " (Fig. 2) aquifer occurring at the depth range of 34-50 m would be a better and also economic aquifer to tackle the pollution problem in Bengal delta covering West Bengal and Bangladesh. The g...

Numerical groundwater flow modeling, reverse particle tracking, and environmental tracers are use... more Numerical groundwater flow modeling, reverse particle tracking, and environmental tracers are used to locate the source of geogenic As affecting an aquifer in West Bengal. The aquifer is hosted by point-bar sands deposited in a meandering fluvial environment. Wells tapping the aquifer exhibit As concentrations up to 531 μg/L. High-As groundwaters are recharged in ponds marking an abandoned river channel. The source of As is traced to the underlying fine-grained channel-fill sediments. Arsenic release within these sediments is accompanied by a concomitant release of Br and DOC indicating that these species may be decay products of natural organobromines co-deposited along with As. Mass transfer of As to the dissolved phase and its flushing from source sediments are described using a simplified reactive solute transport model. Based on this model, a characteristic reaction time for mass transfer is estimated at 6.7 years. Average groundwater residence times in the source are estimated...

Sediments from shallow aquifers in Bengal Delta, India have been found to contain arsenic. Rivers... more Sediments from shallow aquifers in Bengal Delta, India have been found to contain arsenic. Rivers of Ganga-Brahmaputra system, responsible for depositing these sediments in the delta, have created a store of arsenic. Geomorphological domains with different depositional styles regulate the pattern of distribution of zones with widely different content of groundwater arsenic. The high arsenic zones occur as narrow sinuous strips confined to channel deposits. A few iron-bearing clastic minerals and two post-depositional secondary products are arsenic carriers. Secondary siderite concretions have grown on the surface of the clastic carriers in variable intensity. The quantity of arsenic in all clastic carriers is in excess of what is generally expected. Excess arsenic is contributed by the element adsorbed on the concretion grown on the surface of the carriers, which adds up to the arsenic in the structure of the minerals. Variable abundance of concretions is responsible for the variable quantity of arsenic in the carriers and the sediment samples. Fe 2+ for the growth of siderite concretions is obtained from the iron-bearing clastic carriers. The reaction involves reduction of trivalent iron to bivalent and the required electron is obtained by transformation of As 3+ to As 5+ . It is suggested that oxidation of As 3+ to As 5+ is microbially mediated. In the Safe zone arsenic is retained in the carriers and groundwater arsenic is maintained below 0.05 mg/l. In the Unsafe zone sorbed arsenic is released from the carriers in the water through desorption and dissolution of concretion, thereby elevating the groundwater arsenic level to above 0.05 mg/l.

Gotra village in Chakdah block, Nadia district of West Bengal is one of the worst arsenic pollute... more Gotra village in Chakdah block, Nadia district of West Bengal is one of the worst arsenic polluted areas where majority of the aquifers yield groundwater with high arsenic. An integrated geological, hydrological, geochemical and geophysical study has been carried out in and around Gotra village. This paper presents the groundwater chemistry in detail to explain the release mechanism of the pollutant into the groundwater.

Arsenic contamination in groundwater of Bengal delta covering West Bengal and adjoining Banglades... more Arsenic contamination in groundwater of Bengal delta covering West Bengal and adjoining Bangladesh has become one of the worst environmental problems in the world. Arsenic in alluvial sediments is getting released into the groundwater, at places, crossing the permissible limit of drinking water standard and thus creating pollution. Gotra village in Chakdah block of West Bengal is one such arsenic-polluted area where majority of the tubewells are yielding high arsenic in groundwater. The village is situated over a curvilinear levee. The villages beyond this levee do not have much arsenic in groundwater. Groundwater in all 49 available tubewells of variable depths in Gotra village are analysed for elemental abundance. Four boreholes of 40m depth, two each from high and low arsenic-zones, are drilled for lithology and subsurface sediment analysis. Six additional boreholes, each of 30m depth are drilled for subsurface lithology. Porewater at two points from both high and low arsenic zon...

Physical Review D, 2015

An algorithmic approach towards the formulation of non-relativistic diffeomorphism invariance has... more An algorithmic approach towards the formulation of non-relativistic diffeomorphism invariance has been developed which involves both matter and gauge fields. A step by step procedure has been provided which can accommodate all types of (abelian) gauge interaction. The algorithm is applied to the problem of a two dimensional electron moving under an external field and also under the Chern-Simons dynamics.

In a ghost-condensate model of dark energy the combined dynamics of the scalar field and gravitat... more In a ghost-condensate model of dark energy the combined dynamics of the scalar field and gravitation is shown to impose non-trivial restriction on the self-interaction of the scalar field. Using this restriction we show that the choice of a zero self-interaction leads to a situation too restrictive for the general evolution of the universe. This restriction, obtained in the form of a quadratic equation of the scalar potential, is demonstrated to admit real solutions. Also, in the appropriate limit it reproduces the potential in the phantom cosmology.

A ghost-condensate model of dark energy with a generic self interaction is considered. The combin... more A ghost-condensate model of dark energy with a generic self interaction is considered. The combined dynamics of the scalar field and gravitation is shown to impose non-trivial restriction on the self-interaction of the scalar field. This restriction is used to show that for the choice of a zero self-interaction certain evolution scenarios are absent. Also, using this restriction the generic self-interaction in the model has been expressed in terms of the measurable quantities. The conditions that the model goes over to the phantom regime have been derived. The model is then confronted with observational data assuming the phantom power law. Our results demonstrates the validity of the phantom regime assumption throughout the future evolution.

We provide a reduction of a set of two coupled oscillators with balanced loss and gain in their e... more We provide a reduction of a set of two coupled oscillators with balanced loss and gain in their elementary modes. A possible method of quantization based on these elementary modes, in the framework of P T symmetric quantum mechanics is indicated.

The European Physical Journal C, 2015

ABSTRACT We consider the ghost-condensate model of dark energy with a generic potential term. The... more ABSTRACT We consider the ghost-condensate model of dark energy with a generic potential term. The inclusion of the potential is shown to give greater freedom in realising the phantom regime. The self-consistency of the analysis is demonstrated using WMAP7+BAO+Hubble data.

Journal of High Energy Physics, 2011

The problem of gauge symmetry in higher derivative Lagrangian systems is discussed from a Hamilto... more The problem of gauge symmetry in higher derivative Lagrangian systems is discussed from a Hamiltonian point of view. The number of independent gauge parameters is shown to be in general less than the number of independent primary first class constraints, thereby distinguishing it from conventional first order systems. The relativistic particle with rigidity has been considered as an illustrative example.

Physical Review D, 2008

The leading order corrections to Reissner-Nordstrom solutions of the Einstein's equations on nonc... more The leading order corrections to Reissner-Nordstrom solutions of the Einstein's equations on noncommutative space time have been worked out basing on a noncommutative gauge theory of gravity. From the corrcted metric the horizons have been derived and the curvature scalar is also computed. The introduction of noncommutativity leads to the removal of the coordinate singularities.

Classical and Quantum Gravity, 2015

Newtonian gravity was formulated as a geometrodynamic theory as far back in 1930s by Elie Cartan ... more Newtonian gravity was formulated as a geometrodynamic theory as far back in 1930s by Elie Cartan in what is named aptly as Newton Cartan space time. Though there are several approaches of realizing the algebraic structure of the Newton Cartan geometry from a contraction of the relativistic results, a dynamical (field theoretic) realization of it is lacking. In this paper we present such a realization from the localisation of the Galilean Symmetry of nonrelativistic matter field theories.