Unifying The Tunneling And Anomaly Phenomena In Hawking Radiation (2008)
In this Letter we have derived the gravitational anomaly leading to the Hawking radiation from a fundamentally different perspective: it emerges due to the {\it{complimentary}} roles played by...
Crypto Exotic Oscillator and PT symmetry (2008)
Ghosh, Subir, Modak, Sujoy Kumar
We study complexified Harmonic Oscillator with a position dependent mass, referred to in the present paper as Exotic Oscillator (EO), in arbitrary dimensions. The real space EO has an interesting...
Berry Curvature in Graphene: A New Approach (2008)
Gosselin, Pierre, Bérard, Alain, Mohrbach, Hervé, Ghosh, Subir
In the present paper we have directly computed the Berry curvature terms relevant for Graphene in the presence of an \textit{inhomogeneous} lattice distortion. We have employed the generalized Foldy...
Berry Phase Effects in the dynamics of Dirac Electrons in Doubly Special Relativity Framework (2008)
Gosselin, Pierre, Berard, Alain, Mohrbach, Herve, Ghosh, Subir
We consider the Doubly Special Relativity (DSR) generalization of Dirac equation in an external potential in the Magueijo-Smolin base. The particles obey a modified energy-momentum dispersion...
Berry Phase Effects in the dynamics of Dirac Electrons in Doubly Special Relativity Framework (2008)
Gosselin, Pierre, Berard, Alain, Mohrbach, Herve, Ghosh, Subir
We consider the Doubly Special Relativity (DSR) generalization of Dirac equation in an external potential in the Magueijo-Smolin base. The particles obey a modified energy-momentum dispersion...
Comment on Magnetic Monopole Excitations in Spin Ice (2008)
It has been proposed recently \cite{son} that excitations in Spin Ice can be of the form of magnetic monopoles that does not obey the Dirac Quantization Condition. It is also well known \cite{rj}...
Three dimensional noncommutative bosonization (2007)
Banerjee, Rabin, Ghosh, Subir, Shreecharan, T.
We consider the extension of the 2+1-dimensional bosonization process in Non-Commutative (NC) spacetime. We show that the large mass limit of the effective action obtained by integrating out the...
Crypto-Harmonic Oscillator in Higher Dimensions: Classical and Quantum Aspects (2007)
Ghosh, Subir, Majhi, Bibhas Ranjan
We study complexified Harmonic Oscillator models in two and three dimensions. Our work is a generalization of the work of Smilga \cite{sm} who initiated the study of these Crypto-gauge invariant...
Berry Phase Effects in the dynamics of Dirac Electrons in Doubly Special Relativity Framework (2007)
Gosselin, Pierre, Berard, Alain, Mohrbach, Herve, Ghosh, Subir
We consider the Doubly Special Relativity (DSR) generalization of Dirac equation in an external potential in the Magueijo-Smolin base. The particles obey a modified energy-momentum dispersion...
Berry Phase Effects in the dynamics of Dirac Electrons in Doubly Special Relativity Framework (2007)
Gosselin, Pierre, Berard, Alain, Mohrbach, Herve, Ghosh, Subir
We consider the Doubly Special Relativity (DSR) generalization of Dirac equation in an external potential in the Magueijo-Smolin base. The particles obey a modified energy-momentum dispersion...
Berry Phase Effects in the dynamics of Dirac Electrons in Doubly Special Relativity Framework (2007)
Gosselin, Pierre, Berard, Alain, Mohrbach, Herve, Ghosh, Subir
We consider the Doubly Special Relativity (DSR) generalization of Dirac equation in an external potential in the Magueijo-Smolin base. The particles obey a modified energy-momentum dispersion...
Reply to Comment by J.A.Garcia, arXiv:0705.0143 (to appear in PRD) (2007)
We observe that there is no clash between the works \cite{gar} and \cite{g1}.
Deformed Special Relativity and Deformed Symmetries in a Canonical Framework (2007)
In this paper we have studied the nature of kinematical and dynamical laws in $\kappa $-Minkowski spacetime from a new perspective: the canonical phase space approach. We discuss a particular form of...
Spin Hall Effect For Anyons (2007)
Dhar, S., Basu, B., Ghosh, Subir
We explain the intrinsic spin Hall effect from generic anyon dynamics in the presence of external electromagnetic field. The free anyon is represented as a spinning particle with an underlying...
Remarks on the Generalized Chaplygin Gas (2006)
Banerjee, Rabin, Ghosh, Subir, Kulkarni, Shailesh
We have developed an action formulation for the Generalized Chaplygin Gas (GCG). The most general form for the nonrelativistic GCG action is derived consistent with the equation of state. We have...
A Lagrangian for DSR Particle and the Role of Noncommutativity (2006)
In this paper we have constructed a coordinate space (or geometric) Lagrangian for a point particle that satisfies the exact Doubly Special Relativity (DSR) dispersion relation in the Magueijo-Smolin...
Noncommutative Geometry and Geometric Phases (2006)
Basu, B., Ghosh, Subir, Dhar, S.
We have studied particle motion in generalized forms of noncommutative phase space, that simulate monopole and other forms of Berry curvature, that can be identified as effective internal magnetic...
Study of the "Non-Abelian" Current Algebra of a Non-linear $\sigma$-Model (2006)
A particular form of non-linear $\sigma$-model, having a global gauge invariance, is studied. The detailed discussion on current algebra structures reveals the non-abelian nature of the invariance,...
In this paper we have constructed a coordinate space (or geometric) Lagrangian for a point particle that satisfies the Doubly Special Relativity (DSR) dispersion relation in the Magueijo-Smolin...
Comparison of designs in presence of a possible correlation in observations (2006)
We often assume the standard linear model with uncorrelated observations for comparison of designs without realizing a possible presence of correlation in observations. In this paper we present...
A Novel "Magnetic" Field And Its Dual Non-Commutative Phase Space (2005)
In this paper we have studied a new form of Non-Commutative (NC) phase space with an operatorial form of noncommutativity. A point particle in this space feels the effect of an interaction with an...
Lie Particle And Its Batalin-Tyutin Extension (2005)
In this Letter we have proposed a point particle model that generates a noncommutative three-space, with the coordinate brackets being Lie algebraic in nature, in particular isomorphic to the angular...
Chaplygin Gravitodynamics (2005)
We consider a new approach for gravity theory coupled to Chaplygin matter in which the {\it{relativistic}} formulation of the latter is of crucial importance. We obtain a novel form of matter with...
In this note we have considered a relativistic Nambu-Goto model for a particle in $AdS$ metric. With appropriate gauge choice to fix the reparameterization invariance, we recover the previously...
Quantum Hall Effect In Bilayer Systems And The Noncommutative Plane: A Toy Model Approach (2005)
We have presented a quantum mechanical toy model for the study of Coulomb interactions in Quantum Hall (QH) system. Inclusion of Coulomb interaction is essential for the study of {\it{bilayer}} QH...
$\kappa$-Minkowski Spacetime Through Exotic "Oscillator" (2005)
We have proposed a generally covariant non-relativistic particle model that can represent the $\kappa$-Minkowski noncommutative spacetime. The idea is similar in spirit to the noncommutative particle...
Extended Space Duality in the Noncommutative Plane (2004)
Non-Commutative (NC) effects in planar quantum mechanics are investigated. We have constructed a {\it{Master}} model for a noncommutative harmonic oscillator by embedding it in an extended space,...
Comment on "Non-Commutative Duality: High Spin Fields and CP(1) Model with Hopf Term" (2004)
This paper was withdrawn by the authors.
Noncommutativity in Maxwell-Chern-Simons-Matter Theory Simulates Pauli Magnetic Coupling (2004)
We study interactions between like charges in the noncommutative Maxwell-Chern-Simons electrodynamics {\it{minimally}} coupled to spinors or scalars. We demonstrate that the non-relativistic...
Wavepackets and Duality in Noncommutative Planar Quantum Mechanics (2004)
Effects of noncommutativity are investigated in planar quantum mechanics in the coordinate representation. Generally these issues are addressed by converting to the momentum space. In the first part...
Noncommutative Chern-Simons Soliton (2004)
We have studied the noncommutative extension of the relativistic Chern-Simons-Higgs model, in the first non-trivial order in $\theta$, with only spatial noncommutativity. Both Lagrangian and...
Space-Time Symmetries in Noncommutative Gauge Theory: A Hamiltonian Analysis (2003)
We study space-time symmetries in Non-Commutative (NC) gauge theory in the (constrained) Hamiltonian framework. The specific example of NC CP(1) model, posited in \cite{sg}, has been considered....
Maxwell-Chern-Simons Theory is Free for Marginally Noncommutative Spacetimes (2003)
We have conclusively established the duality between noncommutative Maxwell-Chern-Simons theory and Self-Dual model, the latter in ordinary spacetime, to the first non-trivial order in the...
Effective Field Theory for Noncommutative Spacetime: A Toy Model (2003)
A novel geometric model of a noncommutative plane has been constructed. We demonstrate that it can be construed as a toy model for describing and explaining the basic features of physics in a...
Soldering Formalism in Noncommutative Field Theory: A Brief Note (2003)
In this paper, I develop the Soldering formalism in a new domain - the noncommutative planar field theories. The Soldering mechanism fuses two distinct theories showing opposite or complimentary...
The Seiberg-Witten Map in Noncommutative Field Theory: An Alternative Interpretation (2003)
In this article, an alternative interpretation of the Seiberg-Witten map in non-commutative field theory is provided. We show that the Seiberg-Witten map can be induced in a geometric way, by a field...
Energy Crisis or a New Soliton in the Noncommutative CP(1) Model? (2003)
The Non-Commutative (NC) CP(1) model is studied from field theory perspective. Our formalism and definition of the NC CP(1) model differs crucially from the existing one \cite{nccp}. Due to the U(1)...
Bosonization in the Noncommutative Plane (2003)
In this Note, we study bosonization of the noncommutative massive Thirring model in 2+1- dimensions. We show that, contrary to the duality between massive Thirring model and Maxwell-Chern-Simons...
Modelling a Noncommutative Two-Brane (2002)
This paper has been superseded by hep-th/0307227.
Gauge Invariance and Duality in the Noncommutative Plane (2002)
We show that the duality between the self-dual and Maxwell-Chern-Simons theories in 2+1-dimensions survives when the space-time becomes noncommutative. Existence of the Seiberg-Witten map is crucial...
Covariant quantization of the Nambu-Goto spinning particle in 2+1-dimensions is studied. The model is relevant in the context of recent activities in non-commutative space-time. From a technical...
Noncommutativity in open string: New results in a gauge independent analysis (2002)
Banerjee, Rabin, Chakraborty, Biswajit, Ghosh, Subir
Noncommutativity in an open string moving in a background Neveu-Schwarz field is investigated in a gauge independent Hamiltonian approach, leading to new results. The noncommutativity is shown to be...
A New Interpretation of the Seiberg Witten Map (2002)
In an alternative interpretation, the Seiberg-Witten map is shown to be induced by a field dependent co-ordinate transformation connecting noncommutative and ordinary space-times. Furthermore,...
Two New Series of Search Designs for 3(m) Factorial Experiments. (2002)
In this paper two new series of search designs with very small number of treatments are presented for 3 superscript m factorial experiments. The first series of designs can search one nonzero two...
Seiberg Witten Map and the Axial Anomaly in Noncommutative Field Theory (2001)
Using the point-splitting regularisation, we calculate the axial anomaly in an arbitrary even dimensional Non-Commutative (NC) field theory. Our result is (star) gauge invariant in its {\it...
A consistent framework has been put forward to quantize the isentropic, compressible and inviscid fluid model in the Hamiltonian framework, using the Clebsch parameterization. The naive quantization...
Integrability in Fluid Dynamics (2001)
3+1-dimensional free inviscid fluid dynamics is shown to satisfy the criteria for exact integrability, i.e. having an infinite set of independent, conserved quantities in involution, with the...
Gauge Theoretic Approach to Fluid Dynamics (2001)
The Hamiltonian dynamics of a compressible inviscid fluid is formulated as a gauge theory. The idea of gauge equivalence is exploited to unify the study of apparantly distinct physical problems and...
Batalin-Tyutin Quantisation of the Spinning Particle Model (2001)
The Spinning Particle Model for anyon is analysed in the Batalin-Tyutin scheme of quantisation in extended phase space. Here additional degrees of freedom are introduced in the phase space such that...
Study on Various Problems in Statistical Planning and Inference (2001)
The research done under this grant is (1) New main effect plus one plans and their robustness property against deletion of runs and (2) Robust experimental plan and its role in determining robust...
Unified Study of Planar Field Theories (2000)
A "Master" gauge theory is constructed in 2+1-dimensions through which various gauge invariant and gauge non-invariant theories can be studied. In particular, Maxwell-Chern-Simons, Maxwell-Proca and...
$CP^{1}$ model with Hopf interaction: the quantum theory (2000)
Chakraborty, B., Ghosh, Subir, Malik, R. P.
The $CP^1$ model with Hopf interaction is quantised following the Batalin-Tyutin (BT) prescription. In this scheme, extra BT fields are introduced which allow for the existence of only commuting...
Poincare Anomaly in Planar Field Theory (2000)
We show the presence of Poincare anomaly in Maxwell-Chern-Simons theory with an explicit mass term, in 2+1-dimensions.
Canonical transformations and soldering (2000)
We show that the recently developed soldering formalism in the Lagrangian approach and canonical transformations in the Hamiltonian approach are complementary. The examples of gauged chiral bosons in...
Self-interaction effects on screening in three-dimensional QED (1999)
We have shown that self interaction effects in massive quantum electrodynamics can lead to the formation of bound states of quark antiquark pairs. A current-current fermion coupling term is...
Three dimensional (abelian) gauged massive Thirring model is bosonized in the large fermion mass limit. A further integration of the gauge field results in a non-local theory. A truncated version of...
Bosonization and Duality in 2+1-Dimensions: Applications in Gauged Massive Thirring Model (1999)
Bosonization of the gauged, massive Thirring model in 2+1-dimensions produces a Maxwell-Chern-Simons gauge theory, coupled to a dynamical, massive vector field. Exploiting the Master Lagrangian...
Comparing Dispersion Effects at Various Levels of Factors in Factorial Experiments. (1998)
Ghosh, Subir, Lagergren, Eric S.
This paper is an attempt to understand, measure and compare dispersion effects at different levels of factors in factorial experiments. The simplest setting is considered in order to develop better...
On Two Methods of Identifying Influential Sets of Observations. (1998)
In this paper two new measurements are proposed to identify influential sets of observations at the design state in view of prediction and fitting. A relationship is established between one of...
On a New Graphical Method of Determining the Connectedness in Three Dimensional Design. (1998)
This paper studies the connectedness of 3 dimensional designs by reducing the dimension of designs from three to two. A new graphical method of determining the connectedness of designs is presented....
Study on Various Problems in Statistical Planning and Inference. (1998)
Two new measures were proposed to identify influential sets of observations at the design stage in view of prediction and fitting. Three measures of dispersion effects at different levels of factors...
Measuring Dispersion Effects of Factors in Factorial Experiments. (1998)
Ghosh, Subir, Lagergren, Eric S.
This paper is an attempt to understand and measure dispersion effects of factors in factorial experiments. The simplest setting is considered in order to develop better comprehension and insight. The...
Dispersion Models and Estimation of Dispersion Effects in Replicated Factorial Experiments. (1998)
Ghosh, Subir, Lagergren, Eric S.
This paper considers the problem of estimation of dispersion effects of factors in replicated factorial experiments under a general dispersion model. The authors also characterize the arrays so that...
Efficient Nearly Orthogonal Deletion Designs. (1998)
There is a vast literature on the construction of orthogonal single replicate factorial designs in incomplete blocks. The reader is referred to Voss for the list of references. The concept of...
Efficient Nearly Orthogonal Deletion Designs. (1998)
This article considers single replicate factorial experiments in incomplete blocks. A systematic method for determining the unbiasedly estimable (u.e.) and not unbiasedly estimable (n.u.e) factorial...
Study of Various Problems in Statistical Planning. (1998)
The research done under the Grant AFOSR-88-0092 during the period December 1989 - December 1990 are (1) efficiency of connected binary block design when a single observation is unavailable (2)...
Study on Problems in Statistical Planning and Inference (1998)
Progress was made in estimating optimal extend of Life Testing under asymmetric loss function regime. A test was developed for exponentiality against monotone failure rates in hybrid systems. A...
Bosonisation Excercise in Three Dimensions: Gauged Massive Thirring Model (1998)
Bosonisation of the massive Thirring model, with a non-minimal and non-abelian gauging is studied in 2+1-dimensions. The static abelian model is solved completely in the large fermion mass limit and...
Anyons In Electromagnetic Field And The BMT Equation (1998)
The Lagrangian model for anyon, presented in [6], is extended to include interactions with external, homogeneous electromagnetic field. Explicit electric and magnetic moment terms for the anyon are...
On The Vortex-Point Charge Composite: Classical Orbits And Quantum Bound States (1998)
The possibility of composite systems arising out of a point charge interacting with a Nielsen-Olesen vortex in 2+1-dimensions is investigated. It is shown that classical bounded orbits are possible...
A new model for anyon is proposed, which exhibits the classical analogue of the quantum phenomenon - Zitterbewegung. The model is derived from existing spinning particle model and retains the...
Planar Two-particle Coulomb Interaction: Classical and Quantum Aspects (1997)
The classical and quantum aspects of planar Coulomb interactions have been studied in detail. In the classical scenario, Action Angle Variables are introduced to handle relativistic corrections, in...
Anyon gas with interparticle (retarded) Coulomb interaction has been studied. The resulting system is shown to be a collection of dressed anyons, with a screening factor introduced in their spin....
On the Vortex-Point Charge Composite: Classical Orbits and Quantum Bound States (1996)
The possibility of composite systems arising out of a point charge interacting with a Nielsen-Olesen vortex in 2+1-dimensions is investigated. It is shown that classical bounded orbits are possible...
A novel BRST approach in generalizing the Jackiw-Nair anyon (1995)
Ghosh, Subir, Mukhopadhyay, S.
A novel BRST quantization is described, which is applied in generalizing the Jackiw-Nair construction of anyon. We have explicitly shown that the matter states connected to an unconventional...
Interacting anyons and the Darwin Lagrangian (1994)
We propose a new model for interacting (electrically charged) anyons, where the 2+1-dimensional Darwin term is responsible for interactions. The Hamiltonian is comparable with the one used previously...
Anyons in Electromagnetic Field and the BMT Equation (1994)
The Lagrangian model for anyon, presented in [6], is extended to include interactions with external, homogeneous electromagnetic field. Explicit electric and magnetic moment terms for the anyon are...
Spinning particles in $2+1$ dimensions (1994)
Lagrangian and Hamiltonian formulations of a free spinning particle in 2+1-dimensions or {\it anyon} are established, following closely the analysis of Hanson and Regge. Two viable (and inequivalent)...
Batalin-Tyutin Quantisation of the $CP^{N-1}$ model (1993)
Banerjee, N., Ghosh, Subir, Banerjee, R.
The $CP^{N-1}$ model is quantised in the generalised canonical formalism of Batalin and Tyutin by converting the original second class system into first class. Operator ordering ambiguities present...
Quantisation of $O(N)$ invariant nonlinear sigma model in the Batalin-Tyutin formalism (1993)
Banerjee, N., Ghosh, Subir, Banerjee, R.
We quantise the $O(N)$ nonlinear sigma model using the Batalin Tyutin (BT) approach of converting a second class system into first class. It is a {\it nontrivial} application of the BT method since...
Comparison of designs in presence of a possible correlation in observations
Comparison of designs, correlation in observations, least squares estimation, linear model, optimum design, variance functions, Primary 62K05, 62K15, Secondary 62J05,
Efficiency of connected binary block designs when a single observation is unavailable
Subir Ghosh, Sanpei Kageyama, Rahul Mukerjee
Balanced incomplete block design, connectedness, efficiency, group divisible design, robustness,