A few comments made on the Meier's [2] matching-method
solution alias transcendental ``multilayer equation" for  bound-state energies generated by the one-dimensional Schr\"{o}dinger equation with a piecewise constant potential possessing finite number of discontinuities.

MR2468358 Kovalėv, M. D. A multilayer equation. (Russian) Chebyshevskii Sb. 7 (2006), no. 2(18), 99--105. ISBN: 5-87954-403-6 81Q05 (35Q60 78A25)