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F2$2(x)

F2$2(x)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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2. A three-state system has energy eigenfunctions $1(x), Þ2(x) and $3(x) with corresponding energy eigenvalues -ħw, 0, ħw respectively. The system is in the initial state of wavefunction p(x, 0) = c1 $1(x) + c2$2(x) + 2c2¢2(x) where w, C1, C2 are positive real constants. If the expectation value of the Hamiltonian in this state is equal to -0.64hw a. Obtain c1 and c2 b. Write the normalized wavefunction (x, t) c. Determine the uncertainty in energy AE in the state of wavefunction (x, t) d. What is the probability of measuring the energy ħw at time t?
Transcribed Image Text:2. A three-state system has energy eigenfunctions $1(x), Þ2(x) and $3(x) with corresponding energy eigenvalues -ħw, 0, ħw respectively. The system is in the initial state of wavefunction p(x, 0) = c1 $1(x) + c2$2(x) + 2c2¢2(x) where w, C1, C2 are positive real constants. If the expectation value of the Hamiltonian in this state is equal to -0.64hw a. Obtain c1 and c2 b. Write the normalized wavefunction (x, t) c. Determine the uncertainty in energy AE in the state of wavefunction (x, t) d. What is the probability of measuring the energy ħw at time t?
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