Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session Z57: Superconductivity: Spin Properties & Response to Fields
11:30 AM–2:18 PM,
Friday, March 18, 2022
Room: Hyatt Regency Hotel -Clark
Sponsoring
Unit:
DCMP
Chair: Richard Klemm, University of Central Florida
Abstract: Z57.00002 : Rotation and Reverse-Rotation Methods for Magnetic Resonance Quantization
11:42 AM–11:54 AM
Presenter:
Sunghyun Kim
(University of Central Florida)
Authors:
Sunghyun Kim
(University of Central Florida)
ZHICHEN LIU
(University of Central Florida)
Richard A Klemm
(University of Central Florida)
In this work, two of rotation and reverse-rotation methods are introduced. The rotation method with f(t)=ωt leads to #1 the harmonic oscillation equations of (Sx, Sy) with the variables (β, φ), which means the xy plane oscillations are circulatory, and #2 the eigenvalue of the Hamiltonian. But, the function f shouldn't be linear in time, f ≠ ωt, which means the oscillation is not in a circle anymore. The reverse-rotation method shows the spin characterization for general f(t).
In many spin experiments including NMR, f(t) is tunable by manipulating B(t). Any function of f could lead to a different shape of the oscillations. Here, with several types of washboard functions f, we find the general solutions and plot the spin state ψ for arbitrary spin value from their closed form in term of an elliptic integral.
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