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Magnetization of a spin1/2 set is determined by means of their individualwave function. The theoretical treatment based on the fundamental axioms ofquantum mechanics and solving explicitly Schr\"odinger equation gives theevolution of spin1/2 system driven by magnetic fields. In this work we considerthe energy of the spin system interacting with magnetic fields and all theother parts of the energy as a constant reservoir. Solving this completeHamiltonian can explain the measured sign change of nuclear spin noise spectracompared to conventional NMR experiments and the possibility to make NMR imageswithout radio frequency magnetic fields. The possibility to make NMR imageswithout RF magnetic fields is an indication that entangled spin1/2 states canbe manipulated by magnetic field gradients, opening a new way to performquantum computation by NMR.

Reformulating the NMR Quantum Mechanics Fundamental Aspects: Spin 1/2 Evolution in Magnetic Field Gradients