Hi,

## Advertising

> > I am so confused of the wave function we get from : > wf = kwant.solvers.default.wave_function(some_sys, some_energy) > and the eigen vector we can get form theļ¼ > ham=sys.hamiltonian_submatrix(args=[Zeeman]) eval,evec=la.eigh(ham) The first is a scattering state with energy 'some_energy' for a system with leads attached (i.e. infinite in extent), projected onto the scattering region. The second is an energy eigenstate of a finite system (i.e. without leads attached). If the definitions of these quantities are not known, I would recommend reading an introduction to quantum transport, such as the book by S. Datta. The Kwant paper (lhttps://downloads.kwant-project.org/doc/kwant-paper.pdf) also has complete (if terse) definitions of these quantities. > because we can reshape the eigen vector and get its norm, hence give > us the wave mode distribution along the wire, which is the real space. > So I thought that is the wave function. But when I tried the > default.wave_function above, I got something different. I want to make > these two consistent with each other. So I wonder what the relation > between these two ways. I'm afraid I do not understand your question. You will not be able to reproduce a scattering state without taking into account the effect of the leads. Happy Kwanting, Joe

**
signature.asc**

*Description:* OpenPGP digital signature