Assuming the space dimension is not constant, but varies with the expansion of the
universe, a Lagrangian formulation of a toy universe model is given. After a critical review of …

This paper presents the derivation of Schwinger's gauge-invariant result of Im ℒ eff up to one
loop approximation, for particle production in an uniform electric field through the method of …

In this work we study the particle production in time dependent periodic potential using the
method of complex time WKB (CWKB) approximation. In the inflationary cosmology at the …

The complex time WKB (CWKB) approximation has been an effective technique to
understand particle production in curved as well as in flat spacetime. Earlier we obtained the …

We study multidimensional cosmology to obtain the wavefunction of the universe using
wormhole dominance proposal. Using a prescription for time we obtain the Schrödinger …

We start from the classical Hamiltonian constraint of general relativity to obtain the Einstein–
Hamiltonian–Jacobi equation. We obtain a time parameter prescription demanding that …

The Wheeler–DeWitt equation in quantum gravity is timeless in character. In order to discuss
quantum to classical transition of the universe, one uses a time prescription in quantum …

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 …

Using the wormhole dominance proposal, it is shown that quantum corrections to the usual
WKB ansatz for the wave function of the universe ably circumvent many of the drawbacks …