Coupled spin-1/2 particles [8 marks] suppose we have two spin-1/2 particles, with associated spin operators sı and s2. the simultaneous eigenstates of siz and s2. are mi, m2), which we can write as the spins interact with each other, such that the two-prid hamitonian i (2.2) where is a real constant (with units of energy divided by ћ2). (a) does the hamiltonian (2.2) have rotational symmetry? justify your answer. (b) show that it, and iļ. l) are eigenstates of the hamiltonian (2.2), and determine their energy eigenvalues (c) determine the remaining energy eigenstates that involve the states it, ) and |,) along with the corresponding energy eigenvalues (d) for α > 0, identify the ground state and discuss whether or not it is entangled. how do your results change when α < 0?
Answers: 3
Physics, 22.06.2019 01:10, joejoefofana
Suppose that two tanks, 1 and 2, each with a large opening at the top, contain different liquids. a small hole is made in the side of each tank at the same depth 1.57 m below the liquid surface, but the hole in tank 2 has 2.49 times the cross-sectional area of the hole in tank 1. (a) what is the ratio ρ1/ρ2 of the densities of the liquids if the mass flow rate is the same for the two holes? (b) what is the ratio rv1/rv2 of the volume flow rates from the two tanks? (c) at one instant, the liquid in tank 1 is 14.9 cm above the hole. if the tanks are to have equal volume flow rates, what height above the hole must the liquid in tank 2 be just then?
Answers: 3
Physics, 22.06.2019 13:00, maiahfogel1351
Which of the following are appropriate acceleration units?
Answers: 1
Physics, 22.06.2019 14:10, kortetsosie8813
Match these items. 1. coulombs __force 2. ohms __emf 3. centimeters __resistance 4. newtons __charge 5. volts __length
Answers: 1
Coupled spin-1/2 particles [8 marks] suppose we have two spin-1/2 particles, with associated spin op...
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