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The magnetic dipole interaction of two spin 1/2 particles is described by the potential V = A where is the distance between the two particles. a. Show that this can also be written as S?,² – 3(5. F)² V = 2A where S= ( +d2). b. What are possible the interaction energies, if the distance between the two particles is fixed d? c. Assume that the two spin 1/2 particles are at a fixed distance d from each other as in part a, and that at t = 0 one of the spins is along the direction of the vector from particle 1 to particle 2, and the other is in the opposite direction. After how much time will the directions of the spins be flipped?

The magnetic dipole interaction of two spin 1/2 particles is described by the potential V = A where is the distance between the two particles. a. Show that this can also be written as S?,² – 3(5. F)² V = 2A where S= ( +d2). b. What are possible the interaction energies, if the distance between the two particles is fixed d? c. Assume that the two spin 1/2 particles are at a fixed distance d from each other as in part a, and that at t = 0 one of the spins is along the direction of the vector from particle 1 to particle 2, and the other is in the opposite direction. After how much time will the directions of the spins be flipped?

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The magnetic dipole interaction of two spin 1/2 particles is described by the potential V = A where r is the distance between the two particles. a. Show that this can also be written as S?r2 – 3(5. 72 V = 2A where S = (1 + 2). b. What are possible the interaction energies, if the distance between the two particles is fixed d? c. Assume that the two spin 1/2 particles are at a fixed distance d from each other as in part a, and that at t = 0 one of the spins is along the direction of the vector from particle 1 to particle 2, and the other is in the opposite direction. After how much time will the directions of the spins be flipped?
Transcribed Image Text:The magnetic dipole interaction of two spin 1/2 particles is described by the potential V = A where r is the distance between the two particles. a. Show that this can also be written as S?r2 – 3(5. 72 V = 2A where S = (1 + 2). b. What are possible the interaction energies, if the distance between the two particles is fixed d? c. Assume that the two spin 1/2 particles are at a fixed distance d from each other as in part a, and that at t = 0 one of the spins is along the direction of the vector from particle 1 to particle 2, and the other is in the opposite direction. After how much time will the directions of the spins be flipped?
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