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The Berry Phase and the Nuclear Magnetic Resonance

International Journal of Applied Physics
© 2020 by SSRG - IJAP Journal
Volume 7 Issue 3
Year of Publication : 2020
Authors : Jose M. Cervero
10.14445/23500301/IJAP-V7I3P107

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How to Cite?

Jose M. Cervero, "The Berry Phase and the Nuclear Magnetic Resonance," SSRG International Journal of Applied Physics, vol. 7,  no. 3, pp. 44-50, 2020. Crossref, https://doi.org/10.14445/23500301/IJAP-V7I3P107

Abstract:

The celebrated Berry Phase is fully extracted from the analysis of the operator formalism with-out using classical equations but rather the algebra of the unitary operators acting on time dependent Hamiltonians. To illustrate the powerfulness of the method I use as an example in the rest of the paper the physical case of the Magnetic Nuclear Resonance. This formalism of dealing with the study of dynamical and geometric phases is used to nd the adiabatic limit in a simple manner as well as to calculate numerical values for the Berry Phase. Two remarks in classical Wilberforce Pendulum and Coupled Harmonic Oscillators are made both at the beginning and at the end.

Keywords:

Berry Phases, Quantum Mechanics, Unitary Operators Algebra

References:

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