1. The problem statement, all variables and given/known data
As the homework problem is written exactly:
Consider the quantum mechanical system with only two stationary states |1> and |2> and energies E0 and 3E0, respectively. At t=0, the system is in the ground state and a constant perturbation <1|V|2>=<2|V|1>=E0 is switched on. Calculate the probability of finding the system in the state |2>.
2. Relevant equations
H=V (I'm just assuming these states must be such that there is no kinetic energy and E=V, but that's just my guess - professor lacks communication skills at times).
|c1|2 + |c2|2 = 1
P(|2>)=|c2|2 (thus, I need c2 to solve the problem!)
3. The attempt at a solution
Well, I'm completely confused as to why he gave us <1|V|2>=<2|V|1>=E0, what that even means, and where I'm supposed to retrieve the probability coefficients which is all I need to solve the problem.
As the homework problem is written exactly:
Consider the quantum mechanical system with only two stationary states |1> and |2> and energies E0 and 3E0, respectively. At t=0, the system is in the ground state and a constant perturbation <1|V|2>=<2|V|1>=E0 is switched on. Calculate the probability of finding the system in the state |2>.
2. Relevant equations
H=V (I'm just assuming these states must be such that there is no kinetic energy and E=V, but that's just my guess - professor lacks communication skills at times).
|c1|2 + |c2|2 = 1
P(|2>)=|c2|2 (thus, I need c2 to solve the problem!)
3. The attempt at a solution
Well, I'm completely confused as to why he gave us <1|V|2>=<2|V|1>=E0, what that even means, and where I'm supposed to retrieve the probability coefficients which is all I need to solve the problem.
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