1 Introduction 2 Quantum mechanics 2.1. Introduction to quantum theory 2.2. Elements of quantum formalism and Hilbert space structure 2.3. Uncertainty relation between the two operators 2.4.
Spin in quantum mechanics 2.5. The Stern-Gerlach experiment 2.6. Density matrix description 3 Physical basis of NMR 3.1. Introduction 3.2.
Zeeman effect in NMR 3.3. The Boltzmann distribution in NMR 3.4. The effect of magnetic field on spin populations at a thermal equilibrium 4 The Bloch equation description 4.1. Introduction to the Bloch equation 4.2.
The Bloch equation without relaxation in the laboratory frame 4.3. The Bloch equation without relaxation in the rotating frame 4.4. Flip angle of the RF pulse 4.5. The Bloch equations with spin-lattice relaxation time 4.6.
The Bloch equations with spin-spin relaxation time 4.7. The magnetization dynamics on the Bloch sphere 5. NMR spectroscopy and its properties 5.1. Introduction to NMR spectroscopy 5.2. Chemical shift 5.
3. Electron shielding for organic chemicals 5.4. NMR sensitivity 5.5. Proton nuclear magnetic resonance spectroscopy 5.6. Carbon nuclear magnetic resonance spectroscopy 5.
7. Phosphorus nuclear magnetic resonance spectroscopy 5.8. Nitrogen nuclear magnetic resonance spectroscopy 5.9. Fluorine nuclear magnetic resonance spectroscopy 5.10. Xenon nuclear magnetic resonance spectroscopy 6.
Correlation rate 6.1. Introduction to correlation time 6.2. Tumbling rate of molecule 6.3. Dipole-dipole interaction 6.4.
The Bloembergen-Pound-Purcell theory 6.5. Molecular motion on the relaxation time 6.6. The BPP theory and proton-proton interaction 6.7. The Solomon-Bloembergen-Morgan theory 7. FID signal 7.
1. Introduction to NMR signal 7.2. The free induction decay (FID) signal 7.3. Spectral resolution 7.4. The Nyquist-Shannon sampling theorem 7.
5. Fourier transformation 7.6. Insights from Heisenberg uncertainty principle 8. Foundations of MRI 8.1. Introduction to magnetic resonance imaging 8.2.
Different parts of MRI scanner 8.3. Spin-echo pulse sequence 8.4. Gradient coils 8.5. Gradient echo pulse sequence 8.6.
Gradient echo sampling 8.7. The signal-to-noise (SNR) ratio 8.8. Measure magnetization of MRI imaging 8.9. The mathematics behind the spatial encoding 8.10.
Echo planar and spiral imaging 9. Consider some examples of relaxation and magnetization behavior in MRI 9.1. Introduction 9.2. Consider relaxation and magnetization behavior in fat and water molecules 9.3. Consider relaxation and magnetization behavior in brain 9.
4. A summary of processing NMR and MRI experiment 10. MRI technology applications 10.1. Low field MRI applications 10.2. Gadolinium (Gd) application in MRI scan 10.3.
Zeeman effect in hyperpolarized method 10.4. Hyperpolarized carbon MRI and its applications in medical imaging 10.5. Hyperpolarized helium and xenon MRI and their applications in medical imaging.