Course Contents :
Hydrogen atom: Review of the Bohr atom model, solution of the Schrodinger equation, spectra of hydrogen and hydrogen-like atoms. Review of time-independent perturbation theory. Fine structure of the hydrogen atom: spin-orbit coupling and relativistic correction to the kinetic energy. Review of the Dirac equation. Dirac equation in the non-relativistic limit. Zeeman and Stark Spectroscopy: Hyperfine interaction in atomic Hydrogen. Spectroscopy with the 21 cm emission line. Review of time-dependent perturbation theory. Interaction of electromagnetic radiation with a two-level atom. Rabi flopping. The dipole approximation, electric dipole, magnetic dipole and electric quadrupole transitions. Selection rules. Transition probabilities and intensity of spectral lines. Line broadening mechanisms. Spontaneous and stimulated emissions and Einstein coefficients, masers and lasers. Lamb shift. Quantization of the electromagnetic field. The Raman effect. Introduction to NMR and ESR. Review of Pauli's exclusion principle. The spin-statistics theorem. The Helium spectrum. Many electron systems: Electron configurations and spectroscopic notation, equivalent and non-equivalent electrons and Hund's rules. Hartree Fock SCF method, proof of Koopmans theorem, Slater's approximation to exchange. Total Hamiltonian of a molecule. Born-Oppenheimer approximation. Rotational and Vibrational spectra of molecules. Anharmonicity, Franck-Condon principle, Electronic, Infrared and Raman Spectra analysis. Symmetry of atomic and molecular systems. Group theoretical treatment, proof of the Great Orthogonality Theorem. Optional Advanced Topics: Saturation absorption spectroscopy. Atomic clocks. Laser-cooling and Bose-Einstein condensation. Synchrotron radiation spectroscopy. Photofragmentation of molecules.
1. B. H. Bransden and C. J. Joachain, Physics of Atoms and Molecules, Longman Inc. New York (1983). 2. E. U. Condon and G. H. Shortley, The Theory of Atomic spectra, Cambridge University Press (1951-1989). 3. G. Herzberb, Molecular Spectra and Molecular Structure ?I Spectra of Diatomic Molecules, D. Von Nostrand Inc. (1956). 4. G. Herzberg, Molecular Spectra and Molecular Structure -II Infrared and Raman Spectra of Polyatomic Molecules, D. Von Nostrand Inc. (1956). 5. G. Herzberg, Atomic Structure and Atomic Spectra, Dover Pub. Go. 2nd Edition, (1944). 6. H. E. White, Introduction to Atomic Spectra, McGraw-Hill (1954). Course References:
1. P. S. Sindhu, Molecular Spectroscopy, Tata McGraw-Hill (1985). 2. E. U. Condon and H. Odabasi, Atomic Structure, Cambridge University Press (1980). 3. H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One- and Two- Electron Atoms, Plenum Press (1977). 4. M. Tinkham, Group Theory and Quantum Mechanics, Courier Dover Publications, 2003. 5. D. J. Griffiths, Introduction to Quantum Mechanics (2nd Edition), Pearson Education, 2005. 6. Peter F. Bernath, Spectra of Atoms and Molecules, Oxford University Press, 1995. 7. J. J. Sakurai, Modern Quantum Mechanics, Pearson Education, 2009 ; Advanced Quantum Mechanics (2009).