General solution of the SchrÃ¶dinger Equation with Potential Field Quantization and Some Applications

Hasan HÃ¼seyin Erbil

General solution of the Schrödinger Equation with Potential Field Quantization and Some Applications

Hasan HÃ¼seyin Erbil * §

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Ege University

General solution of the Schrödinger Equation with Potential Field Quantization and Some Applications

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Abstract

A simple procedure has been found for the general solution of the time-independent Schrödinger Equation (SE) with the help of quantization of potential area in one dimension without making any approximation.Energy values are not dependent on wave functions. So, to find the energy values, it is enough to find the classic turning points of the potential function. Two different solutions were obtained, namely, symmetric and anti symmetric in bound states. These normalized wave functions are always periodic. It is enough to take the integral of the square root of the potential energy function to find the normalized wave functions. If these calculations cannot be made analytically, they should then be performed by numerical methods. The SE has been solved for a particle in many one-dimension and the spherical symmetric central potential well, the relativistic theory of Dirac as examples.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Hasan Erbil. 2019. "General solution of the Schrödinger Equation with Potential Field Quantization and Some Applications". Global Journal of Science Frontier Research, Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 19 (GJSFR Volume 19 Issue F1).

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GJSFR Volume 19 Issue F1

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification MSC 2010: 32W50

Submission ReceivedJanuary 1, 2019
Peer Review Double Blind
Handling Editor
Accepted January 28, 2019
Published February 12, 2019

Version of record

v1.2

Issue date

April 19, 2019

Language

English

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Article Matrices

Total Score: 145

Country: Turkey

Subject: Global Journal of Science Frontier Research

Authors: Hasan Hüseyin Erbil (PhD/Dr. count: 0)

View Count (all-time): 260

Total Views (Real + Logic): 1025

Total Downloads (simulated): 86

Publish Date: 2019 02, Tue

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Total Views: 1K

Total Downloads: 86

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