Quantum Derivation of the Bloch Equations Excluding Relaxation

Quantum Derivation of the Bloch Equations Excluding Relaxation

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The equation of motion of the density After Shaves matrix of an ensemble of identical spin-1/2 nuclei subject to a rotating-frame radiofrequency field and Zeeman frequency offset is derived from Face Lotions the Schrodinger equation and shown to be equivalent to the magnetization differential equations originally proposed by Bloch (excluding relaxation).The quantum and classical differential equations are then integrated.