Gross structure energy spectrum, probability distribution of radial and angular (l=1,2) wave functions (no derivation), effect of spin, relativistic correction to energy levels and fine structure, magnetic dipole interaction and hyperfine structure, the Lamb shift (only qualitative description).
Non degenerate first order stationary perturbation method, perturbed harmonic oscillator, Zeeman effect(Normal, Anomalous) and calculation of interaction energy, degenerate stationary perturbation theory, atom in a weak uniform external electric field and first and second order Stark effect, Linear Stark effect for H-atom levels.
Indistinguishability and exchange symmetry, many particle wave functions and Pauli's exclusion principle, spectroscopic terms for atoms.
The Helium atom,Variational method and its use in the calculation of ground state and excited state energy.
Hitler-London method for H2 molecule, WKB method for one dimensional problem, application to bound states (Bohr Sommerfield quantization) and the barrier penetration (alpha decay problems).
Spectroscopy (Qualitative) : General features of the spectra of one and two electron systems, singlet, doublet and triplet characters of emission spectra, general features of alkali spectra, rotation and vibration band spectrum of a molecule, PQ and R branches, Raman spectra for rotational and vibrational transitions, comparison with infra red spectra, general features of electronic spectra, Frank and Condon's principle.