Squeezed Coherent State Representation of Scalar Field and Particle Production in the Early Universe

The present work is an attempt to explain particle production in the early univese. We argue that nonzero values of the stress-energy tensor evaluated in squeezed vacuum state can be due to particle production and this supports the concept of particle production from zero-point quantum fluctuations. In the present calculation we use the squeezed coherent state introduced by Fan and Xiao [7]. The vacuum expectation values of stressenergy tensor defined prior to any dynamics in the background gravitational field give all information about particle production. Squeezing of the vacuum is achieved by means of the background gravitational field, which plays the role of a parametric amplifier [8]. The present calculation shows that the vacuum expectation value of the energy density and pressure contain terms in addition to the classical zero-point energy terms. The calculation of the particle production probability shows that the probability increases as the squeezing parameter increases, reaches a maximum value, and then decreases.

Squeezed Coherent State Representation of Scalar Field and Particle Production in the Early Universe

The present work is an attempt to explain particle production in the early univese. We argue that nonzero values of the stress-energy tensor evaluated in squeezed vacuum state can be due to particle production and this supports the concept of particle production from zero-point quantum fluctuations. In the present calculation we use the squeezed coherent state introduced by Fan and Xiao [7]. The vacuum expectation values of stressenergy tensor defined prior to any dynamics in the background gravitational field give all information about particle production. Squeezing of the vacuum is achieved by means of the background gravitational field, which plays the role of a parametric amplifier [8]. The present calculation shows that the vacuum expectation value of the energy density and pressure contain terms in addition to the classical zero-point energy terms. The calculation of the particle production probability shows that the probability increases as the squeezing parameter increases, reaches a maximum value, and then decreases.

Educational rights of the minorities under article 30 of the Indian Constitution

This thesis entitled “ Educational rights of the minorities under article 30 of the indian constitution.The study is divided into nine chapters.The object of the present study is to explore whether the judiciary has been successful in balancing the conflicting rights of the minorities and the state. The study also seeks to bring forth those judicial principles which have governed the operation of these rights and determined the limits of their application. Article 30 confers a special right on minorities to establish educational institutions of their own choice.This is an expression of the liberal and tolerent culture of our nation which is reflected in the Constitution. The idea is to foster unity' in diversity, ea unique characteristic of the Indian way of life.This study suggested that where a minority is a minority’ in the historical or national context and its claim is based on religion it must be defined and ascertained in terms of the population of the whole country irrespective of its being a numerical majority' in any particular State and the minority status. of linguistic group has to be ascertained in terms of the population of any particular State irrespective of its being a numerical minority in terms of the population of the whole country.A religious denomination also can be treated as a religion within the meaning of Article 30(1) provided it is having a separate organisation with doctrines and tenets and rites and practices of its own.