Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session UU02: V: Magnetization and Spin Dynamics
5:00 AM–7:00 AM,
Wednesday, March 22, 2023
Room: Virtual Room 2
Sponsoring
Unit:
GMAG
Chair: Qingming Zhang, Lanzhou University/Institute of Physics
Abstract: UU02.00007 : Rotating Wave Approximation to Nuclear Magnetic Resonance for Arbitrary Spins
6:12 AM–6:24 AM
Presenter:
ZHICHEN LIU
(University of Central Florida)
Authors:
ZHICHEN LIU
(University of Central Florida)
Sunghyun Kim
(University of Central Florida)
Richard A Klemm
(University of Central Florida)
To probe the magnetic dipole transitions between substates m and m’ in an arbitrary nucleus of spin I, a constant magnetic field H0 and a weaker field H1(t) that is normal to H0 with an oscillatory angular frequency ω, H1(t) = H1[ x cos(ωt) + y sin(ωt)]. The problem can be solved exactly by using the rotating wave approximation. Plots of the t dependencies of the substate m occupation probabilities for 1/2≤ I ≤9/2 using two different initial conditions plus a third initial condition for integral 1 ≤ I ≤ 4 values at near resonance are provided. The dynamic and geometric phases for arbitrary m are found in the adiabatic limit. The plots for the average occupation probability of each substate m over one period vs. the angular frequency ω for I = 1/2 to I = 5/2 at near resonance are also included.
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