Abrupt termination of a quantum channel and exactly solvable position-dependent mass models in three dimensions

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125126We consider a particle with a position-dependent mass, moving in a three-dimensional semi-infinite parallelepipedal or cylindrical channel under the influence of some hyperbolic potential. We show that the lack of uniformity in the environment generates an infinite number of bound states.8 pages, no figureQuantum PhysicsAbrupt termination of a quantum channel and exactly solvable position-dependent mass models in three dimensionstext