Extra-problems-ch3.pdf x C The State Of Some System Can B X + Birzeit University [PS] |❘ https://ritaj.birzeit.edu/bzu msgs/attach/887815/Extra problems ch3.pdf Extra-problems-ch3.pdf 2/2 (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  =μ 0 10 10 1 010 1 00 Ĥ = hw 0 1 0 001 (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)t) > for the second measurement. 6. Consider a two level system, where the matrix representation of the position operator and its eigenvectors are given by: a 0 = 0 -a -(2) 8) |1 >= -(e) |2 >= = (9) 8) Type here to search and that the Hamiltonian of the system is given by: -(52) (a) Is the Hamiltonian operator hermition? Iustify your answerl 0 Activate Windows How satisfied are you with Magnifier? ENG 11:09 AM 1/4/2019