Post Closed as "unclear what you're asking" by ACuriousMind, user36790, CuriousOne, Gert, garyp
2 deleted 63 characters in body; edited title

Scattering in SchrodingerSchrödinger picture

ifIf we look at a scattering process in the Schrödinger picture for hamiltonian we have

a Hamiltonian $$H = H_0(t) + V(t)$$

where where $$H$$ is independent of time $${\scriptsize\text{(because let we examine theoretical situation after accelerating particles and turning off accelerators, so system is isolated)}}$$(because we examine a theoretical situation after accelerating particles and turning off accelerators, so the system is isolated) and $$V$$ depends on time $$\scriptsize\text{(because interaction term in general depends on distance between particles)}$$(because interaction term in general depends on distance between particles) and so will be $$H_0$$.

So $$\Phi_\alpha$$the eigenstates of $$H_0$$ are dependent on time and I don't know how is their evolution? ofOf course their evolution as if they are state of a physical system is irrelevant. I want their evolution because of their dependence on $$H_0(t)$$. thanks.

Scattering in Schrodinger picture

if we look at scattering process in Schrödinger picture for hamiltonian we have

$$H = H_0(t) + V(t)$$

where $$H$$ is independent of time $${\scriptsize\text{(because let we examine theoretical situation after accelerating particles and turning off accelerators, so system is isolated)}}$$ and $$V$$ depends on time $$\scriptsize\text{(because interaction term in general depends on distance between particles)}$$ and so will be $$H_0$$.

So $$\Phi_\alpha$$ eigenstates of $$H_0$$ are dependent on time and I don't know how is their evolution? of course their evolution as if they are state of a physical system is irrelevant. I want their evolution because of their dependence on $$H_0(t)$$. thanks.

Scattering in Schrödinger picture

If we look at a scattering process in the Schrödinger picture for a Hamiltonian $$H = H_0(t) + V(t)$$ where $$H$$ is independent of time (because we examine a theoretical situation after accelerating particles and turning off accelerators, so the system is isolated) and $$V$$ depends on time (because interaction term in general depends on distance between particles) and so will be $$H_0$$.

So the eigenstates of $$H_0$$ are dependent on time and I don't know how is their evolution? Of course their evolution as if they are state of a physical system is irrelevant. I want their evolution because of their dependence on $$H_0(t)$$.

1

Scattering in Schrodinger picture

if we look at scattering process in Schrödinger picture for hamiltonian we have

$$H = H_0(t) + V(t)$$

where $$H$$ is independent of time $${\scriptsize\text{(because let we examine theoretical situation after accelerating particles and turning off accelerators, so system is isolated)}}$$ and $$V$$ depends on time $$\scriptsize\text{(because interaction term in general depends on distance between particles)}$$ and so will be $$H_0$$.

So $$\Phi_\alpha$$ eigenstates of $$H_0$$ are dependent on time and I don't know how is their evolution? of course their evolution as if they are state of a physical system is irrelevant. I want their evolution because of their dependence on $$H_0(t)$$. thanks.