Weak magnetic field solution of Schrödinger equation in two dimensions and continuous density of states

作者：

Highlights：

• Schrödinger equation with weak and nearly constant magnetic field B is solved in two dimensions.

• Continuous and discrete energy eigenvalues are obtained.

• Continuous spectrum alone is effective in the density of states curve.

• There are two scattering times giving either positive or negative magnetoresistance.

摘要

Highlights•Schrödinger equation with weak and nearly constant magnetic field B is solved in two dimensions.•Continuous and discrete energy eigenvalues are obtained.•Continuous spectrum alone is effective in the density of states curve.•There are two scattering times giving either positive or negative magnetoresistance.

论文关键词：Green function,Mixed spectrum,Eigenvalue,Eigenfunction,Complete set

论文评审过程：Available online 29 October 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.09.058