S Biswas
Articles written in Pramana – Journal of Physics
Volume 3 Issue 5 November 1974 pp 306-310 Nuclear And Particle Physics
Dual pole eikonal and
Eikonalization of dual pole amplitudes, such as the Veneziano amplitude, is shown to lead to singularities in the impact parameter plane, which, in the eikonal approximation, may be interpreted as branch points in the direct channel angular momentum plane. This result is discussed in the light of dual absorption models.
Volume 23 Issue 3 September 1984 pp 305-311 Cosmic Physics
S Ramadurai M N Vahia S Biswas K Sakurai
A new subgroup of^{3}He rich solar flares is found on reanalysing the global data.^{3}He/H ratio as a function of maximum proton flux at an energy of about 10 MeV shows a break-up of the data into two groups. The first group follows the anticorrelation of^{3}He/H ratio with the proton flux, as expected in the plasma process acceleration models. But the second group has a constant^{3}He/H ratio as a function of maximum proton flux. This is not in conformity with the plasma process models. But this is expected in models where the nuclear spallation reactions are responsible for the production of^{3}He. It is also found that the same break-up into two distinct groups follows if one plots the location of the flares in the solar disc. The first group is more or less confined to the west limb of the Sun, whereas the second group is more widely spread out across the solar disk.
Volume 27 Issue 1-2 July 1986 pp 89-104 Particle Physics
Ionization states of cosmic rays:
S Biswas R Chakraborti R Cowsik N Durgaprasad P J Kajarekar R K Singh M N Vahia J S Yadav N Dutt J N Goswami D Lal H S Mazumdar D V Subhedar M K Padmanabhan
The measurements of the ionization states, composition, energy spectra and spatial distribution of heavy ions of helium to iron of energies 10–100 MeV/amu in the anomalous cosmic rays are of major importance in understanding their origin which is unknown at present.
Volume 33 Issue 2 August 1989 pp 277-287 Particle Physics
Confinement of tensor gluons — a classical approach
We look at the confinement of tensor gluons (
Volume 33 Issue 2 August 1989 pp 289-296 Particle Physics
A confinement model of hadron with its constituent quarks bound in a strong gravitational field is presented. The gravitational field plays the role of a medium having, as if, space dependent permeabilities from a fixed centre. The massless Dirac equation modified by the gravitational field is solved. The solution for the wavefunction of the quarks obtained shows the characteristic features of confinement, i.e., (i) wavefunction with higher energy states lying closer to the centre, (ii) equispaced energy levels without continuum, (iii) the quark orbits lying within a distance ∼ 10^{−14} cm, the characteristic radius of a typical hadron.
Volume 35 Issue 1 July 1990 pp 35-48
Confinement model for quarks and gluons is formulated. An attempt has been made to derive the dielectric function starting from a Lagrangian that also determines the quark and gluon field equations. Deconfinement mechanism is also discussed.
Volume 35 Issue 5 November 1990 pp 421-428
Aharonov-Bohm effect from five dimensional space-time
We present an alternative non-quantum mechanical description of Aharonov-Bohm effect.
Volume 36 Issue 5 May 1991 pp 519-530 Research Articles
Dirac equation in time dependent electric field and Robertson-Walker space-time
We show that the motion of a Dirac electron in a time dependent electromagnetic field can be considered as a motion in a dielectric medium with time dependent dielectric function. We find that this electromagnetic case is analogous to the description in Robertson-Walker (RW) space-time. We solve the Dirac equation is such a simulated space-time.
Volume 37 Issue 1 July 1991 pp 71-81
Geometric interpretation of hadronization model
A hadronization model termed as geometric dielectric confinement model is described. The model describes the charmed meson decays quite successfully. In the model we assume that the non-abelian gauge field describing the colour force simulates the effect of a medium having space-dependent dielectric constant. The quarks produced in weak decays move in the dielectric medium such that they are free in limited region of space (
Volume 37 Issue 3 September 1991 pp 261-268 Research Articles
Regge relation and geometrization of fundamental constant
We show that the Regge relation between angular momentum and mass is due to curved space time description of basic interactions. We try to understand the geometrization of
Volume 40 Issue 6 June 1993 pp 467-476 Research Articles
WKB approximation in complex time
The WKB approximation to the one particle Schrödinger equation in time is used to obtain the wavefunction at a given point as a sum of semiclassical terms, each corresponding to a different classical trajectory (real or complex) but ending up at the same point. A method to find out reflection coefficient for processes involving one and two turning points is developed and it is shown that the semiclassical complex analysis reproduces exactly the reflection coefficient that is obtained through the exact solution of the problem. The connection between pair production and reflection amplitude is also shown. The pair production amplitude in a time dependent gravitational background is calculated and it is shown that the vacuum considered in complex trajectory WKB analysis refers to adiabatic vacuum.
Volume 42 Issue 4 April 1994 pp 319-332
WKB approximation in complex time II
The non-perturbative method, developed recently, of WKB approximation in complex time is applied to some known curved space time. Three cases namely (1) static in and out region, (2) non-static in and out region, (3) static in and non static out region are considered here. We find non-trivial particle production corresponding to the quantum vacuum definition of Castagnino and Mazzitelli.
Volume 50 Issue 2 February 1998 pp 109-131
Particle production in curved spacetime
Particle production in curved spacetime has been discussed through the method of complex time WKB approximation. We consider Dirac equation in non-flat spacetime to understand particle production as particle-antiparticle rotation. The method is also generalized to understand particle production through parametric resonance. To understand the method of CWKB we consider particle production in Kasner spacetime as an example.
Volume 53 Issue 4 October 1999 pp 685-700 Research Articles
Dirac current in expanding spacetime
We study the behaviour of Dirac current in expanding spacetime with Schrödinger and de Sitter form for the evolution of the scale-factor. The study is made to understand the particle-antiparticle rotation and the evolution of quantum vacuum leading to particle production in such spacetime.
Volume 53 Issue 5 November 1999 pp 815-831 Research Articles
Starobinsky model in Schrödinger description
In the Starobinsky inflationary model inflation is driven by quantum corrections to the vacuum Einstein equation. We reduce the Wheeler-DeWitt equation corresponding to the Starobinsky model to a Schrödinger form containing time. The Schrödinger equation is solved with a Gaussian ansatz. Using the prescription for the normalization constant of the wave function given in our previous work, we show that the Gaussian ansatz demands Hawking type initial conditions for the wave function of the universe. The wormholes induce randomness in initial states suggesting a basis for time-contained description of the Wheeler-DeWitt equation.
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