Text Reference 
E. Merzbacher, Quantum Mechanics, Wiley 1970.
P.M. Mathews and Venkatesan , A Text book of Quantum Mechanics, Tata McGraw Hill, 1976.
A.Messiah, Quantum Mechanics, North Holland.
L. Landau, and E. Lifshitz, Quantum Mechanics, Pergamon, 1956.

Description 
Historical background: Wave functions, Superposition principle, Wave packets. Schrodinger equation. Probability and current densities. Expectation values and Ehrenfest"s theorem.
General formalism: Linear vectors and operators in Hillbert space, observables, commuting operators, momentum representation and uncertainty principle. Unitary transformations, Schrodinger and Heisenberg representations, Equations of motion.
Applications: One dimensional potential problems, Linear harmonic oscillator polynomial solutions,creation and annihilation operators. Central forces, angular momentum, spherical harmonics, spin, addition of general angular momenta. Motion in a well. Free and bound states in a Coulomb potential.
