|a'> and |a"> are both eigenvectors of eigenvalue a' and a" of an Operator A(adsbygoogle = window.adsbygoogle || []).push({});

and a' doesn't equal a",The hameltonien of the system is defined as

H=ε( |a'><a"| + |a"><a'| )

a)What are the eigenvectors |E1> and |E2> of the energy?

b)If the system was in the state |a'> at t=0 , write the system state at t>0

c)What is the probability to find the system in the |a"> state at t>0 if it was in |a'> at t=0?

Frankly the teacher solved it , but i have no idea how he came up with the result in (3) and (4) (For (1)(2)(3)(4) check the pics attached)

I understand (1) and (2) and how we can obtien them,any help for (3) and (4)?

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# Homework Help: Quantum mechanics

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