K Babu Joseph
Articles written in Pramana – Journal of Physics
Volume 4 Issue 1 January 1975 pp 1-18 Mechanics
The Hamilton-Jacobi equation revisited
A new analysis of the nature of the solutions of the Hamilton-Jacobi equation of classical dynamics is presented based on Caratheodory’s theorem concerning canonical transformations. The special role of a principal set of solutions is stressed, and the existence of analogous results in quantum mechanics is outlined.
Volume 9 Issue 2 August 1977 pp 103-109 Classical Mechanics
The dirac-schwinger covariance condition in classical field theory
A straightforward derivation of the Dirac-Schwinger covariance condition is given within the framework of classical field theory. The crucial role of the energy continuity equation in the derivation is pointed out. The origin of higher order derivatives of delta function is traced to the presence of higher order derivatives of canonical coordinates and momenta in the energy density functional.
Volume 10 Issue 6 June 1978 pp 563-575 Nuclear And Particle Physics
Static,
K Babu Joseph A N Muraleedhara Shenoi
A sine-Gordon type scalar field with a$$\cos ^4 [(\sqrt {\bar \lambda } \phi )/m]$$ potential in two dimensions is studied and a static,
Volume 11 Issue 1 July 1978 pp 17-26
Second order phase transition in two dimensional sine-Gordon field theory—Lattice model
Two dimensional sine-Gordon (SG) field theory on a lattice is studied using the single-site basis variational method of Drell and others. The nature of the phase transition associated with the spontaneous symmetry breakdown in a SG field system is clarified to be of second order. A generalisation is offered for a SG-type field theory in two dimensions with a potential of the from [cos^{n}(√
Volume 11 Issue 2 August 1978 pp 195-204 Particle Physics
K Babu Joseph M Sabir M N Sreedharan Nair
An investigation of the newly discovered charmed mesons
Volume 16 Issue 1 January 1981 pp 49-60 Particle Physics
A phenomenological bag model with variable bag pressure
K Babu Joseph M N Sreedharan Nair
We examine the consequences of a variable (density-dependent) bag pressure term and a fixed hadronic size in the phenomenological MIT bag model for hadron spectroscopy. Mass spectrum of the low-lying baryons and mesons, baryon magnetic moments and the hadron mass splittings are estimated. These are found to be in closer agreement with experiment than the MIT results.
Volume 19 Issue 1 July 1982 pp 99-102 Particle Physics
Some comments on quark masses and baryon magnetic moments
K Babu Joseph M N Sreedharan Nair
The suggestion made by Lipkin regarding the quark masses and magnetic moments of baryons is examined in the context of the variable pressure bag model. We find that the exact agreement obtained by Lipkin between theory and experiment in the case of
Volume 19 Issue 2 August 1982 pp 175-182 Nuclear And Particle Physics
K Babu Joseph M N Sreedharan Nair V G Sreevalsa
In this paper we consider the experimentally observed dibaryons as six-quark states. The mass spectrum of
Volume 22 Issue 2 February 1984 pp 111-115 Quantum Mechanics
Fluctuations in SU(2) Yang-Mills theory
The nonlinear differential equation resulting from the use of the ’t Hooft-Corrigan-Fairlie-Wilczek ansatz in SU(2) Yang-Mills gauge theory is solved by the bilinear operator method. The solutions which are singular are interpreted as fluctuations involving no flux transport. However, these objects may play a tunnelling role similar to that of merons.
Volume 26 Issue 6 June 1986 pp 465-476
Perturbative evaluation of universal constants for a quartic map
We discuss a perturbative scheme for the determination of the bifurcation rate δ for a specific map, by extending Virendra Singh’s method of evaluating the scaling factor α. The method is applied to a quartic map and the values obtained, α = 1.690781026 and δ = 7.23682924 are in good agreement with the numerically computed values reported in the literature. The perturbative approach is found to be more efficient than other existing methods.
Volume 31 Issue 1 July 1988 pp 1-8 Statistical Physics
Transition to chaos in a driven pendulum with nonlinear dissipation
The Melnikov-Holmes method is used to study the onset of chaos in a driven pendulum with nonlinear dissipation. Detailed numerical studies reveal many interesting features like a chaotic attractor at low frequencies, band formation near escape from the potential well and a sequence of subharmonic bifurcations inside the band that accumulates at the homoclinic bifurcation point.
Volume 39 Issue 3 September 1992 pp 193-252 Review
Deterministic chaos in one-dimensional maps—the period doubling and intermittency routes
This paper is a review of the present status of studies relating to occurrence of deterministic chaos and its characterization in one-dimensional maps. As our primary aim is to introduce the nonspecialists into this fascinating world of chaos we start from very elementary concepts and give sufficient arguments for clarity of ideas. The two main scenarios during onset of chaos viz. the period doubling and intermittency are dealt with in detail. Although the logistic map is often discussed by way of illustration, a few more interesting maps are mentioned towards the end.
Volume 39 Issue 5 November 1992 pp 521-528 Research Articles
V C Kuriakose K K Leelamma K Babu Joseph
The first order perturbative correction to the energy levels of a boson realization of a
Volume 39 Issue 5 November 1992 pp 529-539 Research Articles
K M Valsamma K Babu Joseph G Ambika
We present an analytic perturbative method for calculating
Volume 42 Issue 4 April 1994 pp 285-297
Non perturbative effective potentials of quantum oscillators
Non perturbative analogues of the Gaussian effective potential (GEP) are defined for quantum oscillators obeying
Volume 42 Issue 4 April 1994 pp 299-309
Coherent states and squeezed states of real
G Vinod K Babu Joseph V C Kuriakose
A detailed physical characterisation of the coherent states and squeezed states of a real
Volume 45 Issue 4 October 1995 pp 311-317
The particle in a box problem in
G Vinod K Babu Joseph K M Valsamma
A
Volume 46 Issue 4 April 1996 pp 305-314 Research Articles
Nonlinear Schrödinger equation for optical media with quintic nonlinearity
G Mohanachandran V C Kuriakose K Babu Joseph
A nonlinear quintic Schrödinger equation (NLQSE) is developed and studied in detail. It is found that the NLQSE has soliton solutions, the stability of which is analysed using variational method. It is also found that the soliton pulse width in the materials supporting NLQSE is small compared to soliton pulse width of the commonly studied nonlinear cubic Schrödinger equation (NLCSE).
Volume 49 Issue 6 December 1997 pp 591-601
Schrödinger picture formalism of Φ^{6} theory
The static effective potential for a scalar field with Φ^{6} interaction is calculated using the effective action in Schrödinger picture formalism. It is found that the effective potential obtained is same as the Gaussian effective potential as far as static case is concerned. Equivalence with the CJT formalism can also be established. As in CJT formalism after renormalization an unrenormalized mass term persists. Nonzero turning points are obtained both for positive and negative
Volume 50 Issue 2 February 1998 pp 133-148
Finite temperature Cornwall-Jackiw-Tomboulis formalism of Φ^{6} theory
The finite temperature effective potential for a scalar field with Φ^{6} interaction is calculated by extending the CJT formalism for composite operators. It is found that unrenormalized terms appear in the effective potential due to the presence of an unrenormalized mass term. Nonzero turning points are obtained both for positive and negative
Volume 56 Issue 4 April 2001 pp 477-486 Research Articles
Stochastic evolution of cosmological parameters in the early universe
C Sivakumar Moncy V John K Babu Joseph
We develop a stochastic formulation of cosmology in the early universe, after considering the scatter in the redshift-apparent magnitude diagram in the early epochs as an observational evidence for the non-deterministic evolution of early universe. We consider the stochastic evolution of density parameter in the early universe after the inflationary phase qualitatively, under the assumption of fluctuating
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