The present work deals with the classical and quantum aspects of the
Raychaudhuri equation in the framework of f(T)-gravity theory. In the
background of homogeneous and isotropic Friedmann Lemaitre Robertson Walker
space time, the Raychaudhuri equation has been formulated and used to examine
the focusing theorem and convergence condition for different choices of f(T).
Finally in quantum cosmology, the wave function of the universe has been shown
to be the energy eigen function of the time independent Schrodinger equation of
a particle. Also probability measure on the mini-super space has been examined
at zero volume for singularity analysis in the quantum regime. Lastly the
Bohmian trajectory for the present quantum system has been explicitly
determined for some particular choices.Comment: 22 pages 18 figure