Anti-symmetric square well and barrier potential between two rigid walls
arXiv:1406.4761
Abstract
We study an anti-symmetric (square) well and barrier potential of depth/height placed between two rigid walls. Unlike the usual double-well, here the closely lying sub-barrier doublets need not be the lowest ones in the spectrum. When admits certain calculable values, or or both could become energy eigenvalues of the special eigenstate which emerge only if one seeks a linear solution of Schr{ö}dinger equation in the appropriate regions.
10 pages and four figures