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CE 50lvec: Let PaD(0) Be The P: x C Consider A Two Level System X Ditra-problems-ch3.pdf x + C Solved: Let Pab(1) be the prol X Chegg Study Guided Soluti x The State Of Some System C. X Birzeit University [PS] | https://ritaj.birzeit.edu/bzu msgs/attach/887815/Extra-problems-ch3.pdf Type here to search 0 (c) Determine the mean value and the variance in a measurement of 4. A certain 3-level system can have three values of energy associated with 3 stationary states: Energy state 0 1> 2> 2w 13> (a) An operator is written in the following form: Q = a 1 >< 1 + b(|2>< 3|+|3><2) with 0<<b. What will be the outcome if we measure the operator Q (b) If at time t = 0, the operator Q was measured, and the largest eigenvalue was obtained, write the wavefunction at any later time t. (c) If Ĥ was measured at any later time t, what might we get and with what probability. 5. Consider a three-level system where the Hamiltonian and observable A are given by the matrix A-P A = hw 010 101 0 10 100 0 10 0 0 1 (a) What are the possible values obtained in a measurement of A (b) Does a state exist in which both the results of a measurement of energy E and observable A can be predicted with certainty? Why or why not? (c) Two measurements of A are carried out, separated in time by t. If the result of the first measurement is its largest possible value, determine the expectation value < (t) A)) > for the second measurement. 6. Consider a two level system, where the matrix representation of the position operator and its eigenvectors are given by: Activate Windows Go to Sellings to activate Windows. X 0 2>= ENG 821 PM 1/3/2019 1

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