- #1
QuarkDecay
- 47
- 2
A system of |1> and |2>, in the beggining has a function |Ψ(0)>= cosa|1> + sina|2>.
The energy of the system is;
https://i.imgur.com/I0C7BFg.png
a, ε,n are known. Find the |Ψ(t)>
The solution is;
https://i.imgur.com/urWs6XW.png
It is known that; |Ψ(t)>= e^(-iHt/ħ) * |Ψ(0)>
but I don't understand what happens with the energy H and what type of math it uses to make the cosa and sina into e^(-ia).
Also note that the ε in H are the "∈" looking in the solution
Can someone explain this?
The energy of the system is;
https://i.imgur.com/I0C7BFg.png
a, ε,n are known. Find the |Ψ(t)>
The solution is;
https://i.imgur.com/urWs6XW.png
It is known that; |Ψ(t)>= e^(-iHt/ħ) * |Ψ(0)>
but I don't understand what happens with the energy H and what type of math it uses to make the cosa and sina into e^(-ia).
Also note that the ε in H are the "∈" looking in the solution
Can someone explain this?