Geodesic
Exponentially confining potential well
Teoretičeskaâ i matematičeskaâ fizika, Tome 206 (2021) no. 1, pp. 97-111

Voir la notice de l'article provenant de la source Math-Net.Ru

We introduce an exponentially confining potential well that can be used as a model to describe the structure of a strongly localized system. We obtain an approximate partial solution of the Schrödinger equation with this potential well where we find the lowest energy spectrum and the corresponding wavefunctions. We use the tridiagonal representation approach as the method for obtaining the solution as a finite series of square-integrable functions written in terms of Bessel polynomials.
Keywords: exponential potential, tridiagonal representation approach, Bessel polynomial. 
@article{TMF_2021_206_1_a4,
     author = {A. D. Alhaidari},
     title = {Exponentially confining potential well},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {97--111},
     publisher = {mathdoc},
     volume = {206},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_206_1_a4/}
}
TY  - JOUR
AU  - A. D. Alhaidari
TI  - Exponentially confining potential well
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2021
SP  - 97
EP  - 111
VL  - 206
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2021_206_1_a4/
LA  - ru
ID  - TMF_2021_206_1_a4
ER  - 
%0 Journal Article
%A A. D. Alhaidari
%T Exponentially confining potential well
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2021
%P 97-111
%V 206
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2021_206_1_a4/
%G ru
%F TMF_2021_206_1_a4
A. D. Alhaidari. Exponentially confining potential well. Teoretičeskaâ i matematičeskaâ fizika, Tome 206 (2021) no. 1, pp. 97-111. http://geodesic.mathdoc.fr/item/TMF_2021_206_1_a4/