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Problem 4. Consider the rigid rotor of problem 3 above. A measurement of Le is made which leaves the rotor in an eigenstate of Lx with value +ħ, i.e. (12) Find the probability that a measurement of L₂ yields the value -ħ. |) = |x; +1) = 2

Problem 4. Consider the rigid rotor of problem 3 above. A measurement of Le is made which leaves the rotor in an eigenstate of Lx with value +ħ, i.e. (12) Find the probability that a measurement of L₂ yields the value -ħ. |) = |x; +1) = 2

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A rigid rotor with moment of inertia I is initially in the state: (3) 2 I૬) PHY4355 Homework Set #8 = 1 √14 corresponding to the case l = 1. (a) Write this state as a linear combination of the eigenstates of Lx. (b) Find the probability that a measurement of Lx yields the value -ħ Problem 4. Consider the rigid rotor of problem 3 above. A measurement of L, is made which leaves the rotor in an eigenstate of Lx with value +ħ, i.e. 1 1 ¹ (2) 2 1 Find the probability that a measurement of L₂ yields the value -ħ. Fall 2023 |) = |x; +1)
Transcribed Image Text:A rigid rotor with moment of inertia I is initially in the state: (3) 2 I૬) PHY4355 Homework Set #8 = 1 √14 corresponding to the case l = 1. (a) Write this state as a linear combination of the eigenstates of Lx. (b) Find the probability that a measurement of Lx yields the value -ħ Problem 4. Consider the rigid rotor of problem 3 above. A measurement of L, is made which leaves the rotor in an eigenstate of Lx with value +ħ, i.e. 1 1 ¹ (2) 2 1 Find the probability that a measurement of L₂ yields the value -ħ. Fall 2023 |) = |x; +1)
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