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.
KeywordsPermeability Porosity Hexagonal Petrol Sponge
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- C. A. Piguet, D. F. Wang, and C. Gruber, “Quantum duality and Bethe-Ansatz for the Hofstadter problem on hexagonal lattice”.Google Scholar
- C. Gruber, D. F. Wang, “One Dimensional Lattice Models of Electrons with r-2 Hopping and Exchange”; D. F. Wang and C. Gruber, “Exactly Sovlable Kondo Lattice Model”.Google Scholar
- James T. Liu and D. F. Wang, “The 1/r 2 t-J model in a magnetic field”.Google Scholar
- D. F. Wang and C. Gruber, “A Remark on Interacting Anyons in a Magnetic Field”.Google Scholar
- R. L. Kleinberg, Exp. Methods in the Phys. Sciences 35 (1999) 337, and references therein.Google Scholar
- W. E. Kenyon, P. I. Day, C. Straley, and J. F. Willemsen, Soc. Petrol. Eng. Form. Eval. 3, (1988) 622–636Google Scholar
- [12a]W. E. Kenyon, P. I. Day, C. Straley, and J. F. Willemsen, Soc. Petrol. Eng. Form. Eval. 4, (1989) 8Google Scholar