2. A three-state system has energy eigenfunctions $1(x), Þ2(x) and $3(x) with correspondingenergy eigenvalues -ħw, 0, ħw respectively.The system is in the initial state of wavefunctionp(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 -0.64hwa. Obtain c1 and c2b. 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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Answered: F2$2(x)

Science

Physics

F2$2(x)

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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Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m?/C2. Vacuum permitivity, en = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, m, = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. R Suppose you have 5 point charges q to g, distributed along a semi-circle maintaining equal distance. The charge q6 is at the center of the circle. The radius of the semi-circle is R = 20 cm and the magnitude of the charges are as follows : 9 = 95 15 µC, 92 = 94= 44 µC and q3= 46 = -41 µC.