From Magnetic Flux and Incommensurability to NMR and Oil Wells
In this paper I describe some of the work I did as a graduate student about a charged particle in two dimensions subject to a magnetic field, a doubly periodic potential and dissipation. In particular, I discuss how issues of commensurability, incommensurability, and duality symmetries arise in this problem, and I make some connections with work by D. F. Wang. In the second half of this paper, I describe the use of nuclear magnetic resonance (NMR) in the use of oil logging. Finally, I show how questions of commensurability and incommensurability also arise in NMR.
KeywordsNuclear Magnetic Resonance Magnetic Flux Pore Geometry Prime Integer Surface Relaxation
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