- #1
LCSphysicist
- 646
- 162
- Homework Statement
- .
- Relevant Equations
- .
I am a little confused about how to solve it, probably it is easy but i didn't get it.
I thought that would be a good idea to work with ##\psi = \alpha |a_{0}\rangle + \beta |a_{1}\rangle## in the Schrodinger equation with time involved, so that we get a system of differential equations. $$d\alpha/dt = \alpha*a + \beta*b$$$$d\beta/dt = \alpha*r$$$$ \beta(0) = 0$$
(simplifying the notation, throwing the i and h to the other side, a b r constants)
But i am not sure if this is the best way, and if this is right. And the wolframalpha's solution of the system was not an easy one to manipulate, so i think i am wrong.
I thought that would be a good idea to work with ##\psi = \alpha |a_{0}\rangle + \beta |a_{1}\rangle## in the Schrodinger equation with time involved, so that we get a system of differential equations. $$d\alpha/dt = \alpha*a + \beta*b$$$$d\beta/dt = \alpha*r$$$$ \beta(0) = 0$$
(simplifying the notation, throwing the i and h to the other side, a b r constants)
But i am not sure if this is the best way, and if this is right. And the wolframalpha's solution of the system was not an easy one to manipulate, so i think i am wrong.