A Perturbative Approach in the Minimal Length of Quantum Mechanics

Bekir Can LUTFUOGLU

Article Details

A Perturbative Approach in the Minimal Length of Quantum Mechanics

Authors:

Bekir Can LUTFUOGLU

Main Topics:

Applied physics

Journal:

The Eurasia Proceedings of Science Technology Engineering and Mathematics 2019 Vol.6, pp.148-150

Document Type:

Article

Publication Date:

7/2019

Document Language:

English

Document ID (Org No.):

2000660779

Abstract:

 


There are many pieces of evidence for a minimal length
of the order of Planck length in the problems in quantum gravity, string
theory, and black-hole physics etc. Existing of such a minimal length
description modifies the traditional Heisenberg uncertainty principle. The
novel form is called "the generalized uncertainty principle" in the
jargon. Such a deformation in the uncertainty relation changes the
corresponding wave equation. The latter Schrodinger equation is now no more a
second-order differential equation. Consequently, this causes a great
difficulty to obtain the analytic solutions. In this study, we propose a perturbative
approach to the bound state solutions of the Woods-Saxon potential in the
Schrodinger equation by adopting the minimal length. Here, we take the extra
term as a perturbative term to the Hamiltonian. Then, we calculate the first
order corrections of the energy spectrum for a confined particle in a well by a
Woods-Saxon potential energy.  

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Article Details

A Perturbative Approach in the Minimal Length of Quantum Mechanics

Authors: Bekir Can LUTFUOGLU

Main Topics: Applied physics

Journal: The Eurasia Proceedings of Science Technology Engineering and Mathematics 2019 Vol.6, pp.148-150

Document Type: Article

Publication Date: 7/2019

Document Language: English

Document ID (Org No.): 2000660779

Issues

Authors:

Bekir Can LUTFUOGLU

Main Topics:

Applied physics

Journal:

The Eurasia Proceedings of Science Technology Engineering and Mathematics 2019 Vol.6, pp.148-150

Document Type:

Article

Publication Date:

7/2019

Document Language:

English

Document ID (Org No.):

2000660779