Quantum Mechanics is a nondeterministic theory that its mathematical predictions coincide with physical measurements and observations and studies the fundamental questions underlying modern physics a bout time, space,energy and matter and its answeres has philosophical interpretations.Modern Quantum Mechanics is aimed at first - year graduate students begins with the mathematical tools of Quantum Mechanics and its representations, The next chapter is about Sherodinger equation,Heisenberg picture, Propagators and Guage transformations and the last chapter deals with Angular momentum,Rotation Groups,Bells Inequality, Ensembles and Density Operators.