Analytical approximations to the l-wave solutions of the Klein-Gordon equation for a second Pöschl-Teller like potential

Wen Chao Qiang; Shi Hai Dong

doi:10.1016/j.physleta.2008.05.020

Analytical approximations to the l-wave solutions of the Klein-Gordon equation for a second Pöschl-Teller like potential

Wen Chao Qiang, Shi Hai Dong

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Abstract

We present analytical solutions of the Klein-Gordon equation for the second Pöschl-Teller like potential within the framework of an approximation to the centrifugal potential for any l state. The explicit expressions of bound state spectra and normalized eigenfunctions are obtained. We also numerically solved the Klein-Gordon equation without any approximation to centrifugal term for the same potential and compared numerical energy levels with approximately analytical results. It is found that the results are in good agreement with those obtained by other method for short-range potential.

Original language	English
Pages (from-to)	4789-4792
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	27-28
DOIs	https://doi.org/10.1016/j.physleta.2008.05.020
State	Published - 30 Jun 2008

Keywords

Centrifugal term
Klein-Gordon equation
Second Pöschl-Teller like potential

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10.1016/j.physleta.2008.05.020

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title = "Analytical approximations to the l-wave solutions of the Klein-Gordon equation for a second P{\"o}schl-Teller like potential",

abstract = "We present analytical solutions of the Klein-Gordon equation for the second P{\"o}schl-Teller like potential within the framework of an approximation to the centrifugal potential for any l state. The explicit expressions of bound state spectra and normalized eigenfunctions are obtained. We also numerically solved the Klein-Gordon equation without any approximation to centrifugal term for the same potential and compared numerical energy levels with approximately analytical results. It is found that the results are in good agreement with those obtained by other method for short-range potential.",

keywords = "Centrifugal term, Klein-Gordon equation, Second P{\"o}schl-Teller like potential",

author = "Qiang, {Wen Chao} and Dong, {Shi Hai}",

note = "Funding Information: This work is supported partly by Natural Science Basic Research Plan in Shaanxi Province of China (Program No. 2005A22), NSF of the Education Bureau of Shaanxi Province of China under Grant O5jk238 and partly by 20080504-SIP-IPN, COFAA-IPN, Mexico.",

year = "2008",

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doi = "10.1016/j.physleta.2008.05.020",

language = "Ingl{\'e}s",

volume = "372",

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journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

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TY - JOUR

T1 - Analytical approximations to the l-wave solutions of the Klein-Gordon equation for a second Pöschl-Teller like potential

AU - Qiang, Wen Chao

AU - Dong, Shi Hai

N1 - Funding Information: This work is supported partly by Natural Science Basic Research Plan in Shaanxi Province of China (Program No. 2005A22), NSF of the Education Bureau of Shaanxi Province of China under Grant O5jk238 and partly by 20080504-SIP-IPN, COFAA-IPN, Mexico.

PY - 2008/6/30

Y1 - 2008/6/30

N2 - We present analytical solutions of the Klein-Gordon equation for the second Pöschl-Teller like potential within the framework of an approximation to the centrifugal potential for any l state. The explicit expressions of bound state spectra and normalized eigenfunctions are obtained. We also numerically solved the Klein-Gordon equation without any approximation to centrifugal term for the same potential and compared numerical energy levels with approximately analytical results. It is found that the results are in good agreement with those obtained by other method for short-range potential.

AB - We present analytical solutions of the Klein-Gordon equation for the second Pöschl-Teller like potential within the framework of an approximation to the centrifugal potential for any l state. The explicit expressions of bound state spectra and normalized eigenfunctions are obtained. We also numerically solved the Klein-Gordon equation without any approximation to centrifugal term for the same potential and compared numerical energy levels with approximately analytical results. It is found that the results are in good agreement with those obtained by other method for short-range potential.

KW - Centrifugal term

KW - Klein-Gordon equation

KW - Second Pöschl-Teller like potential

UR - http://www.scopus.com/inward/record.url?scp=44749085644&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2008.05.020

DO - 10.1016/j.physleta.2008.05.020

M3 - Artículo

SN - 0375-9601

VL - 372

SP - 4789

EP - 4792

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 27-28

ER -

Analytical approximations to the l-wave solutions of the Klein-Gordon equation for a second Pöschl-Teller like potential

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Keywords

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