If we have a quantum system described by the time-dependent Schrödinger equation:
\begin{equation} i \hbar \frac{\partial}{\partial t} \Psi(x, t)=\left[-\frac{\hbar^{2}}{2 m} \frac{\partial^{2}}{\partial x^{2}}+V(x, t)\right] \Psi(x, t) \end{equation}
A dissipative system is a system whose hamiltonian is not Hermitian (that is, doesn't preserve the norm):
\begin{equation} \int\psi^{*}(H\psi) = \int (H\psi^{*}\psi) \end{equation}
What does "dissipative" mean in this context?
Why a "dissipative system" doesn't conserve the norm?
Any complex (or imaginary) potential is dissipative?
An example of potential that leads to a dissipative system?
