**[Cr:4, Lc:3, Tt:0, Lb:0]**

- Rotations in quantum mechanics: Rotations in two and three dimensions, active and passive rotations, Euler angles, rotation operators, Wigner rotation matrices, properties of Wigner rotation matrices, the concept of tensors, reducible and irreducible tensors, Wigner-Eckart theorem, coupling of angular momentum, Clebsch-Gordon coefficients, 3-j, 6-j and 9-j symbols.
- Operator basis and spin dynamics in NMR: Basis states, basis operators, the product operator basis, fictitious spin operator basis, multipole operator basis, Floquet basis operators, irreducible Floquet tensor operator basis, operator basis for multiple spins, commutator relations, matrix representation of operators, direct method, indirect method, pure and mixed States, density matrix theory, Liouville-von-Neumann equation of motion, description of time-dependent hamiltonians, Magnus expansion, Baker Campbell Hausdorff expansion, average hamiltonian theory, Floquet theory
- Description of NMR experiments: Description of spin echo, double resonance, Carr-Purcell sequence, WAHUHA, solid echo experiments using density matrix theory. Description of MAS experiments, the concept of spin and spatial tensor operators, representation of spin hamiltonians in the solid-state.

- M. H. Levitt, Spin Dynamics: Basics of Nuclear Magnetic Resonance, John Wiley & Sons (2001).
- C. P. Slichter, Principles of Magnetic Resonance, 3rd Ed, Springer-Verlag, Berlin, (1990).
- R. R. Ernst, G. Bodenhausen, A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions, Oxford Science Publications by Clarendon Press, (1987).
- A. E. Derome, Modern NMR Techniques for Chemistry Research, Pergamon Press, (1987).
- N. Chandrakumar, S. Subramanian, Modern Techniques in High Resolution FT-NMR, Springer-Verlag, New York Inc. (1987).