TY  - JOUR
T1  - A Perturbative Approach in the Minimal Length of Quantum Mechanics
AU  - Lutfuoglu, Bekir Can
PY  - 2019
DA  - July
JF  - The Eurasia Proceedings of Science Technology Engineering and Mathematics
JO  - EPSTEM
PB  - ISRES Publishing
WT  - DergiPark
SN  - 2602-3199
SP  - 148
EP  - 150
VL  - 6
LA  - en
AB  - There are many pieces of evidence for a minimal lengthof the order of Planck length in the problems in quantum gravity, stringtheory, and black-hole physics etc. Existing of such a minimal lengthdescription modifies the traditional Heisenberg uncertainty principle. Thenovel form is called "the generalized uncertainty principle" in thejargon. Such a deformation in the uncertainty relation changes thecorresponding wave equation. The latter Schrodinger equation is now no more asecond-order differential equation. Consequently, this causes a greatdifficulty to obtain the analytic solutions. In this study, we propose a perturbativeapproach to the bound state solutions of the Woods-Saxon potential in theSchrodinger equation by adopting the minimal length. Here, we take the extraterm as a perturbative term to the Hamiltonian. Then, we calculate the firstorder corrections of the energy spectrum for a confined particle in a well by aWoods-Saxon potential energy.  
KW  - Schrödinger equation
KW  - Generalized uncertainty principle
KW  - Perturbation theory
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UR  - https://dergipark.org.tr/en/pub/epstem/issue//616182
L1  - https://dergipark.org.tr/en/download/article-file/801657
ER  -