RT Journal Article
T1 On the ambiguous treatment of the Schrödinger equation for the infinite potential well and an alternative via flat solutions: The one-dimensional case.
A1 Díaz Díaz, Jesús Ildefonso
AB An ambiguity in the mathematical treatment of the study of bound state solutions of the Schrödinger equation for infinite well type potentials (studied for the first time in a pioneering article of 1928 by G. Gamow) is pointed out. An alternative to prove a similar "localizing effect" is here offered "in terms Hardy type potentials" with the distance to the boundary as a variable. The existence of flat solutions (with zero normal derivative at the boundary) and solutions with compact support is here obtained by first time in the literature for elliptic problems for this kind of linear equations.
PB European Mathematical Society Publishing House
SN 14639963
YR 2015
FD 2015
LK https://hdl.handle.net/20.500.14352/35035
UL https://hdl.handle.net/20.500.14352/35035
LA eng
NO Unión Europea. FP7
NO DGISPI
NO UCM Research Group MOMAT
DS Docta Complutense
RD 9 abr 2025