Remarks on the treatments of non-solvable potentials
B. Gonul, and Y. Cancelik. (2016)cite arxiv:1607.02739Comment: 17 pages and 3 tables.
Abstract
The recently introduced scheme 20,21 is extended to propose an algebraic
non-perturbative approach for the analytical treatment of Schrödinger
equations with non-solvable potentials involving an exactly solvable potential
form together with an additional piece. As an illustration the procedure is
successfully applied to the Cornell potential by means of very simple algebraic
manipulations. However, instead of providing numerical eigenvalues for the only
consideration of the small strength of the related linear potential as in the
previous reports, the present model puts forward a clean route to interpret
related experimental or precise numerical results involving wide range of the
linear potential strengths. We hope this new technique will shed some light on
the questions concerning with the limitations of the traditional perturbation
techniques.
Description
Remarks on the treatments of non-solvable potentials. Method of elimination of corrections to exactly solvable part of H.
%0 Journal Article
%1 gonul2016remarks
%A Gonul, B
%A Cancelik, Y
%D 2016
%K maths qm
%T Remarks on the treatments of non-solvable potentials
%U http://arxiv.org/abs/1607.02739
%X The recently introduced scheme 20,21 is extended to propose an algebraic
non-perturbative approach for the analytical treatment of Schrödinger
equations with non-solvable potentials involving an exactly solvable potential
form together with an additional piece. As an illustration the procedure is
successfully applied to the Cornell potential by means of very simple algebraic
manipulations. However, instead of providing numerical eigenvalues for the only
consideration of the small strength of the related linear potential as in the
previous reports, the present model puts forward a clean route to interpret
related experimental or precise numerical results involving wide range of the
linear potential strengths. We hope this new technique will shed some light on
the questions concerning with the limitations of the traditional perturbation
techniques.
@article{gonul2016remarks,
abstract = {The recently introduced scheme [20,21] is extended to propose an algebraic
non-perturbative approach for the analytical treatment of Schr\"odinger
equations with non-solvable potentials involving an exactly solvable potential
form together with an additional piece. As an illustration the procedure is
successfully applied to the Cornell potential by means of very simple algebraic
manipulations. However, instead of providing numerical eigenvalues for the only
consideration of the small strength of the related linear potential as in the
previous reports, the present model puts forward a clean route to interpret
related experimental or precise numerical results involving wide range of the
linear potential strengths. We hope this new technique will shed some light on
the questions concerning with the limitations of the traditional perturbation
techniques.},
added-at = {2016-07-12T20:00:06.000+0200},
author = {Gonul, B and Cancelik, Y},
biburl = {https://www.bibsonomy.org/bibtex/254e20cc2a2eb3e49d03e219180fe7cb7/vindex10},
description = {Remarks on the treatments of non-solvable potentials. Method of elimination of corrections to exactly solvable part of H.},
interhash = {3015ef0756d6451ca19db6a88e405e9b},
intrahash = {54e20cc2a2eb3e49d03e219180fe7cb7},
keywords = {maths qm},
note = {cite arxiv:1607.02739Comment: 17 pages and 3 tables},
timestamp = {2016-07-12T20:00:06.000+0200},
title = {Remarks on the treatments of non-solvable potentials},
url = {http://arxiv.org/abs/1607.02739},
year = 2016
}