Question: Step by step explanation please; The Hamiltonian for a certain three level system and operators A and B are represented by the following matrixes: 0

Step by step explanation please;

The Hamiltonian for a certain three level system and operators A and B are represented by the following matrixes: 0 0 0 2 0 0 H - ho 0 2 0 A-10 0 B-4001 0 2 0 0 Here A and / are real positive numbers. (a) Show that A and B are physical observables. (3 points) (b) Are there simultaneous eigenstates for # and A? Give detailed reasoning. (4 points) (c) Do states exist for which (A) is time independent? Give detailed reasoning. (3 points) (d) Establish a lower bound on the products of uncertainties AAAB for measurements of A and B in the following quantum state

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