Journal of Modern Classical Physics & Quantum Neuroscience

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The Analysis of Spin Spin Interaction and Nuclear Magnetic Resonance of a Two, Three and Four Spin System

Authors: Elio Conte
Published: 2025-07-27
Pages: 1-5
DOI: 10.63721/25JPQN0113
Keywords: Nuclear Magnetic Resonance (NMR), Spin-Spin Interaction, Energy States in NMR, Coupling Constants in NMR, Clebsch-Gordan Coefficients
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Abstract

In nuclear magnetic resonance we obtain that[H,FZ] = 0 and thus the Hamiltonian H and Z have a common set of orthonormalized eigenfunctions that require the use of Clebsch-Gordan coefficients used in the present paper. We have calculated such Clebsch-Gordan coefficients with the value j1xj2_=1/2x1/2 and we have estimated the energy levels and the transition energies of this system under the nuclear magnetic resonance. The generalities of the A2, AB; AX, and the three-spin system are studied. On the four-spin system we give the generalities of such a system.

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© 2025 The Author(s). Published by WM Journals.

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