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Atomic & Molecular Physics

The exhaustive list of topics in Atomic & Molecular Physics in which we provide Help with Homework Assignment and Help with Project is as follows:

  • Complete set of observables for the non-relativistic Hydrogen atom - radial and angular wavefunctions; Complete set of 'good quantum numbers', associated constants of motion and associated symmetries. The Laplace-Runge-Lenz vector and the Fock SO(4) symmetry of the Hydrogen atom.
  • Identical Particles; Exchange interaction and N-electron systems. The Hartree-Fock Self-Consistent Field Formalism.
  • Perturbative treatment of spin-orbit interaction, Fine structure. Effects of applied electromagnetic fields.
  • Zeeman effect (normal and anomalous) in atomic spectroscopy, Paschen-Back effect, Stark effect. Hyperfine structure. Laser cooling of atoms and Bose-Einstein condensation.
  • Semiclassical formalism of the theory of radiation based on first order time-dependent perturbation theory. Fermi's Golden rule, Einstein's A and B coefficients, population
  • invertion, applications to lasers.
  • Coupling of Angular Momenta, Clebsch-Gordan Coefficients, Statement and Proof the Wigner-Eckart Theorem and its applications in atomic spectroscopy. Spectroscopic terms and complex atomic spectra.
  • Group Theoretical Methods in Atomic and Molecular Physics. Development and applications of the Great Orthogonality Theorem. Molecular 'Point' groups.
  • Partial wave analysis, First and higher order Born approximation. Symmetry and Conservation Laws in Atomic Physics.
  • The relativistic Hydrogen atom. Dirac equation. Foldy- Wouthuysen Transformation of Dirac Hamiltonian. Lamb shift.
  • Molecular Structure, Nature of the Chemical Bond. Semiemperical and ab-initio methods of obtaining molecular eigenstates.
  • Electronic, Rotational, Vibrational and Ro-Vibrational Spectra of molecules. Photofragmentation of molecules, and fragmentation dynamics. Potential energy surface determination.