Spin Dynamics: Basics of Nuclear Magnetic Resonance
By Malcolm H. Levitt. 2001
1,722 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/b08887fede234becb66b2038f338fdd5b0cfb06f
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Citations in the corpus
- Development of a broadband nonlinear two-degree-of-freedom piezoelectric energy harvester (2014, background): “In vector form, its general expression is (Levitt, 2001)”
- Training Schrödinger’s cat: quantum optimal control (2015, methodology): “This was enabled by the development of theoretical tools such as Average Hamiltonian Theory (AHT) [160] and the symmetry analysis of composite pulses and multiple-pulse cycles and supercycles [131, 245, 246, 247].”
- Imaging of groundwater with nuclear magnetic resonance (2008, methodology): “In laboratory and borehole investigations, T 1 and T 2 can be determined indirectly by invoking various appropriate sequences of pulses at the Larmor frequency, for example the inversion recovery method [36].”
- Magnetic field effects in chemical systems (2009, background): “Since the spin Hamiltonian approach is ubiquitous in magnetic resonance, the form of the contributions arising from different magnetic interactions are known (see [40,41]).”
- Quantum Metrology with Strongly Interacting Spin Systems (2019, methodology): “Our approach employs average Hamiltonian theory to engineer the system evolution through pulsed periodic manipulation of the spins [10,38,40].”
- Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control (2020, methodology): “1 Formulation of the control problem We consider the control of a spin-1/2 particle whose dynamics are governed by the Bloch equation in a given rotating frame [100, 101]: Ṁx = −ωMy, Ṁy = ωMx − ωx(t)Mz, Ṁz = ωx(t)My, where M = (Mx,My,Mz) is the magnetization vector and ω the offset term.”
- Optically pumped magnetometers: From quantum origins to multi-channel magnetoencephalography (2019, background): “Due to the relative contribution of protons and neutrons in the nucleus, the dimensionless quantum number I has a value of 3/2 for 87Rb (Levitt, 2000).”