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2011 AAPT Summer Meeting
July 30-August 3, 2011
Omaha, Nebraska

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Magnetic Resonance (MR) Analogy for a Charged Particle Dynamics in a Magnetic Field
  Location: HC 3040
  Date: Tuesday, Aug.2
  Time: 8:50 AM -9:00 AM
  Author: Michael Partensky, Brandeis University
  Co-Author(s): Valery P. Putyrsky
  Abstract: An analogy between the Bloch Equations (BE) of the MR theory (MRT) and the dynamics equations (DE) for a charged particle in a magnetic field allows for a unified description of two different groups of electromagnetic phenomena. In a static magnetic field B0, BE for magnetization M and DE for the velocity V, are formally equivalent. Hence, V(t) performs Larmor precession around the direction of B0, resulting in a familiar helical trajectory. With oscillating magnetic field, this analogy still holds under certain conditions, e.g., if the Lorenz force due to the induced electric field can be neglected. This bridges the MRT and the particle dynamics. The resonant behaviors of V are described in the rotating reference frame [1]. The particle trajectories are discussed and compared with the solutions accounting for the effects of the induced electric field. [1] I.I. Rabi, N.F. Ramsay, J. Schwinger, Rev. Mod. Phys., 64, 167 (1954)
  Footnotes: None
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