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