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Fractional Calculus in Nuclear Magnetic Resonance (NMR)

Dr. Richard Magin
University of Illinois, Chicago

January 23, 2008
*2:00pm-3:00pm
Manning Hall room 201

*please note earlier start time to this seminar

Refreshments will be served at 1:30pm in Manning Hall 222

Abstract:

Nuclear magnetic resonance (NMR) is a physical phenomenon widely used to study complex materials.  NMR is governed by the Bloch equation, a first order non-linear differential equation.  Fractional order generalization of the Bloch equation presents an opportunity to extend its use as a linear form to describe a wide range of experimental situations.

  Here we present a fractional generalization of the Bloch equation for a simple spin ½ system in a static magnetic field using the Caputo fractional derivative.

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