The main purpose of this book is to present in a systematic and self-contained manner a variety of mathematical methods and to apply these methods in the quantum analysis of several optical systems. All effort has been made to employ convenient and relatively simple techniques to carry out various calculations of interest. Some distinct features of the book include the determination of the Q function by means of the antinormally-ordered charateristic function defined in the Heisenberg picture, the procedure followed to derive the master equation for a cavity mode or a two-level atom coupled to a squeezed vacuum reservoir, to establish the correlation properties of the noise operators or forces associated with quantum or c-number Langevin equations, to obtain the input-output relation, and the approach adopted in the analysis of atom cooling.

The main purpose of this book is to present in a systematic and self-contained manner the basic formalism of quantum mechanics. All effort has been made to develop the formalism from the minimum possible number of postulates. Some of the distinguishing features of the book include a systematic and rigorous treatment of expectation values, illustration of the equivalence between the Schrödinger and Heisenberg formulations, the approach adopted to relate the position and momentum operators with the so-called lowering and raising operators, the procedure followed to derive the radial equation for the hydrogen atom, the discussion on the interaction of a two-level atom with a single-mode and multimode radiation, and the argument leading to alternative formulation of quantum dynamics. This book may be used as a text for undergraduate courses on quantum mechanics.