Particle 2 The Particles Interact With One Another Via The Hamiltonian Onsider A System Of Two Particles One With Sp 1 (30.58 KiB) Viewed 55 times
(particle 2). The particles interact with one another via the Hamiltonian onsider a system of two particles, one with spin 1 (particle 1) and the other with spin in H = EO [S(1) S(2)] + E [S.(1) + S.(2) 无 $:(2] where Eo and E, are constants > 0 and with units of energy. (a) Find energy spectrum of this system, i.e. the eigenvalues of the Hamiltonian H and identify the ground state and first excited state. (b) If the two particle system is known to be in a configuration such that the total spin is 1/2, what values a measurement of the 2-component of the spin of spin=1 particle would produce and what would be their associated probabilities?
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$:(2] where Eo and E, are constants > 0 and with units of energy. (a) Find energy spectrum of this system, i.e. the eigenvalues of the Hamiltonian H and identify the ground state and first excited state. (b) If the two particle system is known to be in a configuration such that the total spin is 1/2, what values a measurement of the 2-component of the spin of spin=1 particle would produce and what would be their associated probabilities?