Post Closed as "unclear what you're asking" by ACuriousMind, user36790, CuriousOne, Gert, garyp
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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
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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.