equations:schroedinger_equation

This shows you the differences between two versions of the page.

Both sides previous revision Previous revision | |||

equations:schroedinger_equation [2020/04/10 11:40] 109.81.208.52 [Concrete] |
equations:schroedinger_equation [2020/04/10 11:44] (current) 109.81.208.52 [Concrete] |
||
---|---|---|---|

Line 67: | Line 67: | ||

$$ \phi(t) = A e^{-Et/\hbar} $$ | $$ \phi(t) = A e^{-Et/\hbar} $$ | ||

- | and the second equation is known as the stationary Schrödnger equation. This means that for all systems where the Hamiltonian does not explicitly depend on the time, we known immediately how the time-dependence of the total wave function $\Psi(x,t)$ looks like, namely: $\Psi(x,t) = \phi(t) \psi(x) = A e^{-Et/\hbar} \psi(x)$. The only thing we then have to do is to solve the __stationary Schrödinger equation__ | + | and the second equation is known as the stationary Schrödnger equation. This means that for all systems where the Hamiltonian does not explicitly depend on the time, we know immediately what the time-dependence of the total wave function $\Psi(x,t)$ looks like, namely: $\Psi(x,t) = \phi(t) \psi(x) = A e^{-Et/\hbar} \psi(x)$. The only thing we then have to do is to solve the __stationary Schrödinger equation__ |

\begin{equation} | \begin{equation} |

equations/schroedinger_equation.txt · Last modified: 2020/04/10 11:44 by 109.81.208.52

Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Share Alike 4.0 International