a'> and a"> are both eigenvectors of eigenvalue a' and a" of an Operator A
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)?
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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