Consider a system of two particles, one with spin 1 (particle 1) and the other with spin 1/2 (particle 2). The particles

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Consider A System Of Two Particles One With Spin 1 Particle 1 And The Other With Spin 1 2 Particle 2 The Particles 1 (60.9 KiB) Viewed 58 times

Consider a system of two particles, one with spin 1 (particle 1) and the other with spin 1/2 (particle 2). The particles interact with one another via the Hamiltonian 1 – E, [5(1):s(2) +E (5:0)# S:12) [S(.S H = E (1) + () 无 where Eo and E1 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 Z-component of the spin of the spin=l particle would produce and what would be their associated probabilities?