Subsections
[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).
